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15x=x+8
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 15\left(x+8\right), the least common multiple of x+8,15.
15x-x=8
Subtract x from both sides.
14x=8
Combine 15x and -x to get 14x.
x=\frac{8}{14}
Divide both sides by 14.
x=\frac{4}{7}
Reduce the fraction \frac{8}{14} to lowest terms by extracting and canceling out 2.