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1=x+8
Variable x cannot be equal to any of the values -8,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+8\right), the least common multiple of x^{2}+6x-16,x-2.
x+8=1
Swap sides so that all variable terms are on the left hand side.
x=1-8
Subtract 8 from both sides.
x=-7
Subtract 8 from 1 to get -7.