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9x-16=8\left(x-1\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 10\left(x-1\right), the least common multiple of 10x-10,5.
9x-16=8x-8
Use the distributive property to multiply 8 by x-1.
9x-16-8x=-8
Subtract 8x from both sides.
x-16=-8
Combine 9x and -8x to get x.
x=-8+16
Add 16 to both sides.
x=8
Add -8 and 16 to get 8.