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a ) + ) Xét x \(\ge\) 3 => |x - 3| = x - 3
=> |x - 3| + x - 3 = x - 3 + x - 3 = 0
<=> 2x - 6 = 0
<=> 2x = 6
=> x = 3
+ ) Xét x < 3 => |x - 3| = 3 - x
=> |x - 3| + x - 3 = 3 - x + x - 3 = 0
<=> 0 = 0 ( loại )
Vậy x = 3
ý khác tương tự

Tìm x εIN biết
a) 390 - (x-8) = 168:13
b) (x-140) : 7 = 27 - 24
c) x- 6 :2 - ( 48 - 24 ) :2 :6 - 3 = 0
d) x+5.2-(32+16.3:6-15)=0
b) \(\left(x-140\right):7=27-24\)
\(\left(x-140\right):7=3\)
\(x-140=21\)
\(x=161\)
vay \(x=161\)
c) \(x-6:2-\left(48-24\right):2:6-3=0\)
\(x-3-24:2:6-3=0\)
\(x-3-2-3=0\)
\(x-8=0\)
\(x=8\)
vay \(x=8\)
d) \(x+5.2-\left(32+16.3:6-15\right)=0\)
\(x+10-\left(32+8-15\right)=0\)
\(x+10-25=0\)
\(x-15=0\)
\(x=15\)
vay \(x=15\)
a) \(390-\left(x-8\right)=168:13\)
\(390-x+8=\frac{168}{13}\)
\(x+8=390-\frac{168}{13}\)
\(x+8=\frac{5070}{13}-\frac{168}{13}\)
\(x+8=\frac{4902}{13}\)
\(x=\frac{4902}{13}-8\)
\(x=\frac{4798}{13}\)
vay \(x=\frac{4798}{13}\)

Tìm x:
b) 1/3.x+2/5.(x-1)=0
\(<=> \dfrac{1}{3} .x +\dfrac{2}{5}x - \dfrac{2}{5} =0\)
\(<=> \dfrac{11}{15}x = \dfrac{2}{5}\)
\(<=> x= \dfrac{6}{11}\)
Vậy \( x= \dfrac{6}{11}\)
c) (2x-3).(6-2x)=0
\(<=> \begin{cases}
2x-3=0 \\
6-2x=0
\end{cases}\) \(<=> \begin{cases}
2x=3 \\
-2x=-6
\end{cases}\) \(<=>\begin{cases}
x=\dfrac{3}{2} \\
x=3
\end{cases}\)
Vậy \(x=( \dfrac{3}{2} ; 3)\)
d) -2/3-1/3.(2x-5)= 3/2
\(<=> 2x-5= \dfrac{5}{2}\)
\(<=> 2x= \dfrac{15}{2}\)
\(<=> x= \dfrac{15}{4}\)
Vậy \(x= \dfrac{15}{4}\)
f) 1/3.x-1/2=4 và 1/2 (Hỗn số ý '^')
\(<=> \dfrac{1}{3} x -\dfrac{1}{2} = \dfrac{9}{2}\)
\(<=> \dfrac{1}{3}x =5\)
\(<=> x= 15\)
Vậy \(x= 15\)

a) \(x +(x + 1) + (x + 2) + ... + (x +30) = 620\)
\(=\left(x+x+...+x+x\right)+\left(1+2+...+30\right)\)
\(=31x+465=620\)
\(=31x=620-465\)
\(=31x=155\)
\(=x=155\div31\)
\(x=5\)
b) \(2+4+6+8+....+2x = 210\)
\(\Rightarrow2.1+2.2+2.3+2.4+...+2.x\)
\(\Rightarrow2.\left(2+4+6+8+...+x\right)=210\)
\(\Rightarrow2+4+6+8+x=210\div2\)
\(\Rightarrow2+4+6+8+...+x=105\)
\(\Rightarrow x=14\)

a, 45-15=-75-x
=> 30 = -75 - x
=> x = -75 - 30
=> x = -105

Bài 1 :
A = 1 + 2 + 22 + ... + 211
A = ( 1 + 2 ) + ( 22 + 23 ) + ... + ( 210 + 211 )
A = 3 + 22(1+2) + ... + 210(1+2)
A = 1.3 + 22.3 + ... + 210.3
A = 3.(1+22+...+210) chia hết cho 3
Bài 2 :
2.52 + 3:710 - 54:33
= 2.25 + 3:1 - 54:27
= 50 + 3 - 2
= 49
Bài 3 :
a) ( 2x - 6 ) . 47 = 49
2x - 6 = 42 = 16
2x = 16
=> x = 8
b) ( 27x + 6 ) : 3 - 11 = 9
( 27x + 6 ) : 3 = 20
27x + 6 = 60
27x = 54
=> x = 2
c) 740 : ( x + 10 ) = 102 - 2.13
740 : ( x + 10 ) = 74
x + 10 = 10
=> x = 0
d) ( 15 - 6x ) . 35 = 36
15 - 6x = 3
6x = 12
=> x = 2
Bài 4 :
Ta có : ab + ba = ( 10a + b ) + ( 10b + a ) = ( 10a + a ) + ( 10b + b ) = 11a + 11a = 11.(a+b) chia hết cho 11
Bài 1 :
A = 1 + 2 + 22 + ... + 211
A = ( 1 + 2 ) + ( 22 + 23 ) + ... + ( 210 + 211 )
A = 3 + 22(1+2) + ... + 210(1+2)
A = 1.3 + 22.3 + ... + 210.3A = 3.(1+22+...+210) chia hết cho 3
Bài 2 :
2.52 + 3:710 - 54:33
= 2.25 + 3:1 - 54:27
= 50 + 3 - 2= 49
Bài 3 :
a) ( 2x - 6 ) . 47 = 49
2x - 6 = 42 = 16
2x = 16
=> x = 8
b) ( 27x + 6 ) : 3 - 11 = 9
( 27x + 6 ) : 3 = 20
27x + 6 = 60
27x = 54
=> x = 2
c) 740 : ( x + 10 ) = 102 - 2.13
740 : ( x + 10 ) = 74
x + 10 = 10
=> x = 0
d) ( 15 - 6x ) . 35 = 36
15 - 6x = 3
6x = 12
=> x = 2
Bài 4 :
Ta có : ab + ba = ( 10a + b ) + ( 10b + a ) = ( 10a + a ) + ( 10b + b ) = 11a + 11a = 11.(a+b) chia hết cho 11

a,\(\frac{1}{x-1}+\frac{-2}{3}.\left(\frac{3}{4}-\frac{6}{5}\right)=\frac{5}{2-2x}\)
\(\Rightarrow\frac{1}{x-1}+\frac{-2}{3}.\left(\frac{3}{4}-\frac{6}{5}\right)=\frac{5}{2-2x};Đkxđ:x\ne1\)
\(\Rightarrow\frac{1}{x-1}+\frac{-2}{3}\left(\frac{-9}{20}\right)=\frac{5}{2-2x}\)
\(\Rightarrow\frac{1}{x-1}+\frac{3}{10}=\frac{5}{2-2x}\)
\(\Rightarrow\frac{1}{x-1}-\frac{5}{2-2x}=\frac{-3}{10}\)
\(\Rightarrow\frac{1}{x-1}-\frac{5}{-2\left(x-1\right)}=\frac{-3}{10}\)
\(\Rightarrow\frac{1}{x-1}+\frac{5}{2\left(x-1\right)}=\frac{3}{10}\)
\(\Rightarrow\frac{7}{2\left(x-1\right)}=\frac{-3}{10}\)
\(\Rightarrow70=-6\left(x-1\right)\)
\(\Rightarrow6x=6-70\)
\(\Rightarrow6x=-64\)
\(\Rightarrow x=\frac{-32}{3}x\ne1\)

Ta có : \(\left(5x-3\right)^2-\frac{1^2}{64}=0\)
\(\Leftrightarrow\left(5x-3\right)^2=\frac{1}{64}\)
\(\Leftrightarrow\left(5x-3\right)^2=\left(\frac{1}{8}\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}5x-3=\frac{1}{8}\\5x-3=-\frac{1}{8}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}5x=\frac{1}{8}+3\\5x=-\frac{1}{8}+3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}5x=\frac{25}{8}\\5x=\frac{23}{8}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{25}{8}.\frac{1}{5}\\x=\frac{23}{8}.\frac{1}{5}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{5}{8}\\x=\frac{23}{40}\end{cases}}\)
b) 3x - 7.(5x-1) = 6 - 2.(4-3x)
=> 3x - 35x + 7 = 6 - 8 + 6x
=> 3x - 35x - 6x = 6-8 -7
-38x = -9
x = 9/38

1) 2. I2x-3l = 1/2
|2x-3| =1/2:2
|2x-3| =1/4
=>2x-3 =1/4 hoặc 2x-3 =-1/4
2x =1/4+3 2x =-1/4+3
2x =13/4 2x =11/4
x =13/4:2 x =11/4:2
x =13/8 x =11/8
vậy x=13/8 hoặc 11/8
tich dung cho minh nhe

\(\Leftrightarrow\hept{\begin{cases}x-1=0\\x+6=0\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=0+1\\x=0-6\end{cases}}\)\(\Leftrightarrow\hept{\begin{cases}x=1\\x=-6\end{cases}}\)
\(-6\cdot\left(x^2-1\right)=0\)
=>\(x^2-1=0\)
=>\(x^2=1\)
=>x=1 hoặc x=-1
(−6)(\(x^2\) − 1) = 0
\(x^2\) − 1 = 0 : (−6)
\(x^2\) − 1 = 0
\(x^2\) = 1
\(x^2\) = 1\(^2\) = (-1)\(^2\)
\(\left[\begin{array}{l}x=1\\ x=-1\end{array}\right.\)
Vậy \(x\) ∈ { 1 ; -1 }.