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3\left(x-1\right)-4\left(x+2\right)=12
Multiply both sides of the equation by 12, the least common multiple of 4,3.
3x-3-4\left(x+2\right)=12
Use the distributive property to multiply 3 by x-1.
3x-3-4x-8=12
Use the distributive property to multiply -4 by x+2.
-x-3-8=12
Combine 3x and -4x to get -x.
-x-11=12
Subtract 8 from -3 to get -11.
-x=12+11
Add 11 to both sides.
-x=23
Add 12 and 11 to get 23.
x=-23
Multiply both sides by -1.