Solve for x
x = \frac{19}{3} = 6\frac{1}{3} \approx 6.333333333
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x+8+\left(x-7\right)\times 8=9
Variable x cannot be equal to any of the values -8,7 since division by zero is not defined. Multiply both sides of the equation by \left(x-7\right)\left(x+8\right), the least common multiple of x-7,x+8,x^{2}+x-56.
x+8+8x-56=9
Use the distributive property to multiply x-7 by 8.
9x+8-56=9
Combine x and 8x to get 9x.
9x-48=9
Subtract 56 from 8 to get -48.
9x=9+48
Add 48 to both sides.
9x=57
Add 9 and 48 to get 57.
x=\frac{57}{9}
Divide both sides by 9.
x=\frac{19}{3}
Reduce the fraction \frac{57}{9} to lowest terms by extracting and canceling out 3.
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