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60\times 10=x\times 45
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60x, the least common multiple of x,60.
600=x\times 45
Multiply 60 and 10 to get 600.
x\times 45=600
Swap sides so that all variable terms are on the left hand side.
x=\frac{600}{45}
Divide both sides by 45.
x=\frac{40}{3}
Reduce the fraction \frac{600}{45} to lowest terms by extracting and canceling out 15.