Solve for x
x=2
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2\left(x-2\right)-\left(2-x\right)=6x-12
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x-4-\left(2-x\right)=6x-12
Use the distributive property to multiply 2 by x-2.
2x-4-2-\left(-x\right)=6x-12
To find the opposite of 2-x, find the opposite of each term.
2x-4-2+x=6x-12
The opposite of -x is x.
2x-6+x=6x-12
Subtract 2 from -4 to get -6.
3x-6=6x-12
Combine 2x and x to get 3x.
3x-6-6x=-12
Subtract 6x from both sides.
-3x-6=-12
Combine 3x and -6x to get -3x.
-3x=-12+6
Add 6 to both sides.
-3x=-6
Add -12 and 6 to get -6.
x=\frac{-6}{-3}
Divide both sides by -3.
x=2
Divide -6 by -3 to get 2.
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