Solve for x
x=\frac{1}{5}=0.2
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3\times 3\left(2x-1\right)-2\left(5x-6\right)=3-2\left(x-1\right)
Multiply both sides of the equation by 12, the least common multiple of 4,6.
9\left(2x-1\right)-2\left(5x-6\right)=3-2\left(x-1\right)
Multiply 3 and 3 to get 9.
18x-9-2\left(5x-6\right)=3-2\left(x-1\right)
Use the distributive property to multiply 9 by 2x-1.
18x-9-10x+12=3-2\left(x-1\right)
Use the distributive property to multiply -2 by 5x-6.
8x-9+12=3-2\left(x-1\right)
Combine 18x and -10x to get 8x.
8x+3=3-2\left(x-1\right)
Add -9 and 12 to get 3.
8x+3=3-2x+2
Use the distributive property to multiply -2 by x-1.
8x+3=5-2x
Add 3 and 2 to get 5.
8x+3+2x=5
Add 2x to both sides.
10x+3=5
Combine 8x and 2x to get 10x.
10x=5-3
Subtract 3 from both sides.
10x=2
Subtract 3 from 5 to get 2.
x=\frac{2}{10}
Divide both sides by 10.
x=\frac{1}{5}
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
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Limits
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