Solve for x
x=2
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6x-12-3\left(2-x\right)=2\left(x-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6x-12-6+3x=2\left(x-2\right)
Use the distributive property to multiply -3 by 2-x.
6x-18+3x=2\left(x-2\right)
Subtract 6 from -12 to get -18.
9x-18=2\left(x-2\right)
Combine 6x and 3x to get 9x.
9x-18=2x-4
Use the distributive property to multiply 2 by x-2.
9x-18-2x=-4
Subtract 2x from both sides.
7x-18=-4
Combine 9x and -2x to get 7x.
7x=-4+18
Add 18 to both sides.
7x=14
Add -4 and 18 to get 14.
x=\frac{14}{7}
Divide both sides by 7.
x=2
Divide 14 by 7 to get 2.
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