Solve for x
x=7
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2x-2-6\left(x-2\right)=3\left(1-x\right)
Use the distributive property to multiply 2 by x-1.
2x-2-6x+12=3\left(1-x\right)
Use the distributive property to multiply -6 by x-2.
-4x-2+12=3\left(1-x\right)
Combine 2x and -6x to get -4x.
-4x+10=3\left(1-x\right)
Add -2 and 12 to get 10.
-4x+10=3-3x
Use the distributive property to multiply 3 by 1-x.
-4x+10+3x=3
Add 3x to both sides.
-x+10=3
Combine -4x and 3x to get -x.
-x=3-10
Subtract 10 from both sides.
-x=-7
Subtract 10 from 3 to get -7.
x=7
Multiply both sides by -1.
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