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100\times 15=x\times 30
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100x, the least common multiple of x,100.
1500=x\times 30
Multiply 100 and 15 to get 1500.
x\times 30=1500
Swap sides so that all variable terms are on the left hand side.
x=\frac{1500}{30}
Divide both sides by 30.
x=50
Divide 1500 by 30 to get 50.