Solve for x
x=23
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8\left(x+1\right)-3\left(x+1\right)=120
Multiply both sides of the equation by 24, the least common multiple of 3,8.
8x+8-3\left(x+1\right)=120
Use the distributive property to multiply 8 by x+1.
8x+8-3x-3=120
Use the distributive property to multiply -3 by x+1.
5x+8-3=120
Combine 8x and -3x to get 5x.
5x+5=120
Subtract 3 from 8 to get 5.
5x=120-5
Subtract 5 from both sides.
5x=115
Subtract 5 from 120 to get 115.
x=\frac{115}{5}
Divide both sides by 5.
x=23
Divide 115 by 5 to get 23.
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