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2x-2=3\left(2-x\right)
Use the distributive property to multiply 2 by x-1.
2x-2=6-3x
Use the distributive property to multiply 3 by 2-x.
2x-2+3x=6
Add 3x to both sides.
5x-2=6
Combine 2x and 3x to get 5x.
5x=6+2
Add 2 to both sides.
5x=8
Add 6 and 2 to get 8.
x=\frac{8}{5}
Divide both sides by 5.