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3\left(x+1\right)=2\left(x+2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3=2\left(x+2\right)
Use the distributive property to multiply 3 by x+1.
3x+3=2x+4
Use the distributive property to multiply 2 by x+2.
3x+3-2x=4
Subtract 2x from both sides.
x+3=4
Combine 3x and -2x to get x.
x=4-3
Subtract 3 from both sides.
x=1
Subtract 3 from 4 to get 1.