Solve for x
x=8
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3\left(x-2\right)=2\left(x+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x-6=2\left(x+1\right)
Use the distributive property to multiply 3 by x-2.
3x-6=2x+2
Use the distributive property to multiply 2 by x+1.
3x-6-2x=2
Subtract 2x from both sides.
x-6=2
Combine 3x and -2x to get x.
x=2+6
Add 6 to both sides.
x=8
Add 2 and 6 to get 8.
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