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9\times 9=8\left(x-9\right)
Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by 9\left(x-9\right), the least common multiple of x-9,9.
81=8\left(x-9\right)
Multiply 9 and 9 to get 81.
81=8x-72
Use the distributive property to multiply 8 by x-9.
8x-72=81
Swap sides so that all variable terms are on the left hand side.
8x=81+72
Add 72 to both sides.
8x=153
Add 81 and 72 to get 153.
x=\frac{153}{8}
Divide both sides by 8.