Solve for x
x=-4
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3\left(x-2\right)-6\left(x-3\right)=4\left(2-x\right)
Multiply both sides of the equation by 12, the least common multiple of 4,2,3.
3x-6-6\left(x-3\right)=4\left(2-x\right)
Use the distributive property to multiply 3 by x-2.
3x-6-6x+18=4\left(2-x\right)
Use the distributive property to multiply -6 by x-3.
-3x-6+18=4\left(2-x\right)
Combine 3x and -6x to get -3x.
-3x+12=4\left(2-x\right)
Add -6 and 18 to get 12.
-3x+12=8-4x
Use the distributive property to multiply 4 by 2-x.
-3x+12+4x=8
Add 4x to both sides.
x+12=8
Combine -3x and 4x to get x.
x=8-12
Subtract 12 from both sides.
x=-4
Subtract 12 from 8 to get -4.
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