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4\left(x-2\right)-3\left(x+1\right)=48
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-8-3\left(x+1\right)=48
Use the distributive property to multiply 4 by x-2.
4x-8-3x-3=48
Use the distributive property to multiply -3 by x+1.
x-8-3=48
Combine 4x and -3x to get x.
x-11=48
Subtract 3 from -8 to get -11.
x=48+11
Add 11 to both sides.
x=59
Add 48 and 11 to get 59.