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125\times 4=x\times 5
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 125x, the least common multiple of x,125.
500=x\times 5
Multiply 125 and 4 to get 500.
x\times 5=500
Swap sides so that all variable terms are on the left hand side.
x=\frac{500}{5}
Divide both sides by 5.
x=100
Divide 500 by 5 to get 100.