Solve for x
x = \frac{19}{2} = 9\frac{1}{2} = 9.5
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5\left(x+1\right)-3\left(x-2\right)=30
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x+5-3\left(x-2\right)=30
Use the distributive property to multiply 5 by x+1.
5x+5-3x+6=30
Use the distributive property to multiply -3 by x-2.
2x+5+6=30
Combine 5x and -3x to get 2x.
2x+11=30
Add 5 and 6 to get 11.
2x=30-11
Subtract 11 from both sides.
2x=19
Subtract 11 from 30 to get 19.
x=\frac{19}{2}
Divide both sides by 2.
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