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8\left(9+x\right)=5\left(3x-8\right)
Multiply both sides of the equation by 40, the least common multiple of 5,8.
72+8x=5\left(3x-8\right)
Use the distributive property to multiply 8 by 9+x.
72+8x=15x-40
Use the distributive property to multiply 5 by 3x-8.
72+8x-15x=-40
Subtract 15x from both sides.
72-7x=-40
Combine 8x and -15x to get -7x.
-7x=-40-72
Subtract 72 from both sides.
-7x=-112
Subtract 72 from -40 to get -112.
x=\frac{-112}{-7}
Divide both sides by -7.
x=16
Divide -112 by -7 to get 16.