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\(a,\frac{7}{3}x+5=\frac{9}{6}x-7\)
\(\frac{7}{3}x-\frac{9}{6}x=-7-5\)
\(\left(\frac{7}{3}-\frac{9}{6}\right).x=-12\)
\(\frac{5}{6}.x=-12\)
\(x=\left(-12\right):\frac{5}{6}\)
\(x=-\frac{72}{5}\)
\(b,3x+\frac{6}{4}=5-\frac{7x}{6}\)
\(3x+\frac{7x}{6}=5-\frac{6}{4}\)
\(\left(3+\frac{7}{6}\right).x=\frac{7}{2}\)
\(\frac{25}{6}.x=\frac{7}{2}\)
\(x=\frac{7}{2}:\frac{25}{6}\)
\(x=\frac{21}{25}\)
\(c,\frac{12}{5}x+6=\frac{17}{3}x+12\)
\(\frac{12}{5}x-\frac{17}{3}x=12-6\)
\(-\frac{49}{15}x=6\)
\(x=6:\left(-\frac{49}{15}\right)\)
\(x=-\frac{90}{49}\)
\(d,6\left(3x+7\right)=12\left(2x-4\right)\)
\(18x+42=24x-48\)
\(18x-24x=-48-42\)
\(-6x=-90\)
\(x=15\)
\(e,13\left(2x-9\right)=8\left(3x-13\right)\)
\(26x-117=24x-104\)
\(26x-24x=-104+117\)
\(2x=13\)
\(x=\frac{13}{2}\)
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(3x - 7)8 = (3x - 7)6
=> (3x - 7)8 - (3x - 7)6 = 0
=> (3x - 7)6.[(3x - 7)2 - 1) = 0
=> \(\orbr{\begin{cases}\left(3x-7\right)^6=0\\\left(3x-7\right)^2-1=0\end{cases}}\)=> \(\orbr{\begin{cases}3x-7=0\\\left(3x-7\right)^2=1\end{cases}}\)=> \(\orbr{\begin{cases}3x=7\\3x-7\in\left\{1;-1\right\}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{7}{3}\\3x\in\left\{8;6\right\}\end{cases}}\)=> \(\orbr{\begin{cases}x=\frac{7}{3}\\x\in\left\{\frac{8}{3};2\right\}\end{cases}}\)
Vậy \(x\in\left\{\frac{7}{3};\frac{8}{3};2\right\}\)
\(\left(3x-7\right)^8=\left(3x-7\right)^6\)
TH1\(\left(3x-7\right)^2=\left(3x-7\right)^6:\left(3x-7\right)^6\)
\(\left(3x-7\right)^2=1\)
\(\Rightarrow3x-7=1\)
\(3x=8\)
\(x=\frac{8}{3}\)
TH2 \(3x-7=0\)
\(3x=7\)
\(x=\frac{7}{3}\)
Vậy \(x=\frac{8}{3};x=\frac{7}{3}\)
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19 22 25 28 5(3x + 2) – 4(2x +3) x*(1 + 2x) 4(1 + x) – 3(2x-5) 4x–8(6) - X) 23/ ... 2x” – 4x + 3x – 6 = 2x” – X-6 (b) (x-3) = (x-3)(x-3) (c) (2x+y)(2x–y) = x* = x* – 3x ... (x - 6)” 7 (3x + 5)(x-6) 8 (8x + 2)(3x + 4) (4x – 1)(2x – 3) 10 (2x +5)* 11 (8x – 3)(2x + ... 27 (4x + 3y)(x + y) 28 (2x + 5)(5x – 2) (4x – 3y)(4x + y) 30 (7x + 2y)(3x + 4y) 24/ ...
\(a)=3x\cdot\left(2x-7-4x+5\right)=3x\cdot\left(-2x-2\right)=3x\cdot\left[-2\cdot\left(x+1\right)\right]\)
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a,x-(20-3x)=x+7
=>x-20+3x=x+7
=>x-20+3x-x=7
=>x+3x-x=7+20
=>3x=27
=>x=27:3
=>x=9
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1) 3x - 6= 5x + 2
5x - 3x = -6 - 2
2x = -8
x = -4
2) 15 - x = 4x - 5
4x + x = 15 + 5
5x = 20
x = 4
Tương tự như trên
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b ) -2(3x+2)-3 =28
-6x-4-3=28
-6x = 28 +4+3
-6x = 35
x =\(\dfrac{35}{-6}\)= \(\dfrac{-35}{6}\)= -5,8
vậy x= -5,8
c ) -(x+3)-5(x-7)=10x-20
-(x+3)-5x+35=10x-20
-x+3-5x+35=10x-20
-x-5x-10x=-20-3-35
-16x=-58
x=\(\dfrac{-58}{-16}\)=\(\dfrac{58}{16}\)=3,625
vậy x =3,625
d)2x+37=-6(3x-8)
2x+37=-18x+48
2x+18x=48-37
20x=11
x=\(\dfrac{11}{20}\)=0,55
vậy x=0,55
\(\left(3x-7\right)^8=\left(3x-7\right)^6\)
\(\Rightarrow\orbr{\begin{cases}3x-7=1\Rightarrow x=\frac{8}{3}\\3x-7=-1\Rightarrow x=2\end{cases}}\)
\(3x-7=0\Rightarrow x=\frac{7}{3}\)
Vậy \(x\in\left\{\frac{8}{3};2;\frac{7}{3}\right\}\)