Solve for x
x = \frac{22}{13} = 1\frac{9}{13} \approx 1.692307692
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5\left(x+2\right)=40-8\left(x+1\right)
Multiply both sides of the equation by 40, the least common multiple of 8,5.
5x+10=40-8\left(x+1\right)
Use the distributive property to multiply 5 by x+2.
5x+10=40-8x-8
Use the distributive property to multiply -8 by x+1.
5x+10=32-8x
Subtract 8 from 40 to get 32.
5x+10+8x=32
Add 8x to both sides.
13x+10=32
Combine 5x and 8x to get 13x.
13x=32-10
Subtract 10 from both sides.
13x=22
Subtract 10 from 32 to get 22.
x=\frac{22}{13}
Divide both sides by 13.
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