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4\left(x-1\right)-3\left(x-1\right)=12
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-4-3\left(x-1\right)=12
Use the distributive property to multiply 4 by x-1.
4x-4-3x+3=12
Use the distributive property to multiply -3 by x-1.
x-4+3=12
Combine 4x and -3x to get x.
x-1=12
Add -4 and 3 to get -1.
x=12+1
Add 1 to both sides.
x=13
Add 12 and 1 to get 13.