Solve for x
x = \frac{31}{8} = 3\frac{7}{8} = 3.875
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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.
8x+5-6=30
Combine 5x and 3x to get 8x.
8x-1=30
Subtract 6 from 5 to get -1.
8x=30+1
Add 1 to both sides.
8x=31
Add 30 and 1 to get 31.
x=\frac{31}{8}
Divide both sides by 8.
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