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c) 135 - | 9 - x | = 3
| 9 - x | = 135 - 3
| 9 - x | = 132
=> 9 - x = 132
x = 9 - 132
x = 123
hoặc 9 - x = - 132
x = 9 - ( - 132 )
x = 9 + 132
x = 141
Vậy ..................
c) 135 - | 9 - x | = 35
\(2\left(x-1\right)+3\left(x-2\right)=x-4\)
\(2x-2+3x-6=x-4\)
\(5x-8=x-4\)
\(5x-8-x+4=0\)
\(4x-4=0\)
\(4x=4\)
\(x=1\)
\(3\left(4-x\right)-2\left(x-1\right)=x+20\)
\(12-x-2x+2=x+20\)
\(14-3x=x+20\)
\(14-3x-x-20=0\)
\(-6-4x=0\)
\(4x=-6\)
\(x=-\frac{3}{2}\)
\(\left|2x+3\right|=5\)
\(\Rightarrow\orbr{\begin{cases}2x=2\\2x=-8\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\x=-4\end{cases}}}\)
Bài 1:
a, 2x + 35 = x - 27
2x - x = -27 - 35
x = -62
b, 2x - 41 = 3x + (-23)
2x - 3x = -23 + 41
-x = 18
x = -18
c, 4 . (x - 3) - 3 . (x - 5) = 45 . (-2) - 34
4x - 12 - 3x + 15 = -90 - 34
4x - 3x = -90 - 34 + 12 - 15
x = -127
Bài 2:
- ( -1234 + 345 - 29 ) - ( 1234 + 135 - 59 )
= 1234 - 345 + 29 - 1234 - 135 + 59
= (1234 - 1234) - (345 + 135) + (29 + 59)
= 0 - 480 + 88
= -392
\(\text{ x-1=-10-3}\)
\(x-1=-13\)
\(x=-12\)
\(\text{|x+2|=12+(-3)+|-4|}\)
\(\text{|x+2|}=12-3+4\)
\(\text{|x+2|}=13\)
\(\Rightarrow\orbr{\begin{cases}x+2=13\\x+2=-13\end{cases}\Leftrightarrow\orbr{\begin{cases}x=11\\x=-15\end{cases}}}\)
\(\text{|x+2|-12=-1}\)
\(\text{|x+2|}=11\)
\(\Rightarrow\orbr{\begin{cases}x+2=11\\x+2=-11\end{cases}\Leftrightarrow\orbr{\begin{cases}x=9\\x=-13\end{cases}}}\)
\(\text{|2x+3|=5}\)
\(\Rightarrow\orbr{\begin{cases}2x+3=5\\2x+3=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=2\\2x=-8\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=-4\end{cases}}}\)
\(\text{135-|9-x|=35}\)
\(\text{|9-x|}=100\)
\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-191\\x=109\end{cases}}}\)
chúc bạn học tốt
a) \(\left|x-2\right|-12=-1\)
\(\Leftrightarrow\left|x-2\right|=11\)
TH1 : \(x-2=11\)
\(\Leftrightarrow x=13\)
TH2 : \(x-2=-11\)
\(\Leftrightarrow x=-9\)
Vậy \(x\in\left\{13;-9\right\}\)
b) \(135-\left|9-x\right|=35\)
\(\Leftrightarrow\left|9-x\right|=100\)
TH1 : \(9-x=100\)
\(\Leftrightarrow x=-91\)
TH2 :\(9-x=-100\)
\(\Leftrightarrow x=109\)
Vậy \(x\in\left\{-81;109\right\}\)
c) \(\left|2x+3\right|=4\)
TH1 : \(2x+3=4\)
\(\Leftrightarrow2x=1\)
\(\Leftrightarrow x=\frac{1}{2}\)
TH2 : \(2x+3=-4\)
\(\Leftrightarrow2x=-7\)
\(\Leftrightarrow x=-\frac{7}{2}\)
Vậy \(x\in\left\{\frac{1}{2};-\frac{7}{2}\right\}\)