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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
Subtract 6 from both sides.
x=-4
Subtract 6 from 2 to get -4.