Solve for x
x=7
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3\left(x+1\right)=2\left(x+2\right)+6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3=2\left(x+2\right)+6
Use the distributive property to multiply 3 by x+1.
3x+3=2x+4+6
Use the distributive property to multiply 2 by x+2.
3x+3=2x+10
Add 4 and 6 to get 10.
3x+3-2x=10
Subtract 2x from both sides.
x+3=10
Combine 3x and -2x to get x.
x=10-3
Subtract 3 from both sides.
x=7
Subtract 3 from 10 to get 7.
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