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2x+2-3x+3=4\left(3x-2\right)
Use the distributive property to multiply -3 by x-1.
-x+2+3=4\left(3x-2\right)
Combine 2x and -3x to get -x.
-x+5=4\left(3x-2\right)
Add 2 and 3 to get 5.
-x+5=12x-8
Use the distributive property to multiply 4 by 3x-2.
-x+5-12x=-8
Subtract 12x from both sides.
-13x+5=-8
Combine -x and -12x to get -13x.
-13x=-8-5
Subtract 5 from both sides.
-13x=-13
Subtract 5 from -8 to get -13.
x=\frac{-13}{-13}
Divide both sides by -13.
x=1
Divide -13 by -13 to get 1.