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2x+2\left(x-1\right)=3x
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of x-1,2x-2.
2x+2x-2=3x
Use the distributive property to multiply 2 by x-1.
4x-2=3x
Combine 2x and 2x to get 4x.
4x-2-3x=0
Subtract 3x from both sides.
x-2=0
Combine 4x and -3x to get x.
x=2
Add 2 to both sides. Anything plus zero gives itself.