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3\left(x+1\right)-2\left(x-1\right)=24
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3-2\left(x-1\right)=24
Use the distributive property to multiply 3 by x+1.
3x+3-2x+2=24
Use the distributive property to multiply -2 by x-1.
x+3+2=24
Combine 3x and -2x to get x.
x+5=24
Add 3 and 2 to get 5.
x=24-5
Subtract 5 from both sides.
x=19
Subtract 5 from 24 to get 19.