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