Solve for x
x=-7
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2\left(x+1\right)-3\left(x-1\right)=12
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2x+2-3\left(x-1\right)=12
Use the distributive property to multiply 2 by x+1.
2x+2-3x+3=12
Use the distributive property to multiply -3 by x-1.
-x+2+3=12
Combine 2x and -3x to get -x.
-x+5=12
Add 2 and 3 to get 5.
-x=12-5
Subtract 5 from both sides.
-x=7
Subtract 5 from 12 to get 7.
x=-7
Multiply both sides by -1.
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