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2\times 9=9\left(x-2\right)
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-2\right), the least common multiple of x-2,2.
18=9\left(x-2\right)
Multiply 2 and 9 to get 18.
18=9x-18
Use the distributive property to multiply 9 by x-2.
9x-18=18
Swap sides so that all variable terms are on the left hand side.
9x=18+18
Add 18 to both sides.
9x=36
Add 18 and 18 to get 36.
x=\frac{36}{9}
Divide both sides by 9.
x=4
Divide 36 by 9 to get 4.