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8x=\left(x+6\right)\times 6
Variable x cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 8\left(x+6\right), the least common multiple of x+6,8.
8x=6x+36
Use the distributive property to multiply x+6 by 6.
8x-6x=36
Subtract 6x from both sides.
2x=36
Combine 8x and -6x to get 2x.
x=\frac{36}{2}
Divide both sides by 2.
x=18
Divide 36 by 2 to get 18.