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3\left(x-1\right)-18=2\left(x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-3-18=2\left(x+1\right)
Use the distributive property to multiply 3 by x-1.
3x-21=2\left(x+1\right)
Subtract 18 from -3 to get -21.
3x-21=2x+2
Use the distributive property to multiply 2 by x+1.
3x-21-2x=2
Subtract 2x from both sides.
x-21=2
Combine 3x and -2x to get x.
x=2+21
Add 21 to both sides.
x=23
Add 2 and 21 to get 23.