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1=x\times 3
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2\right), the least common multiple of x^{2}-2x,x-2.
x\times 3=1
Swap sides so that all variable terms are on the left hand side.
x=\frac{1}{3}
Divide both sides by 3.