Solve for x
x=23
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3\left(x+1\right)-2\left(x-2\right)=30
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3x+3-2\left(x-2\right)=30
Use the distributive property to multiply 3 by x+1.
3x+3-2x+4=30
Use the distributive property to multiply -2 by x-2.
x+3+4=30
Combine 3x and -2x to get x.
x+7=30
Add 3 and 4 to get 7.
x=30-7
Subtract 7 from both sides.
x=23
Subtract 7 from 30 to get 23.
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