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60\times 2=x\times 3
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.
120=x\times 3
Multiply 60 and 2 to get 120.
x\times 3=120
Swap sides so that all variable terms are on the left hand side.
x=\frac{120}{3}
Divide both sides by 3.
x=40
Divide 120 by 3 to get 40.