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25\times 24=x\times 10
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 25x, the least common multiple of x,25.
600=x\times 10
Multiply 25 and 24 to get 600.
x\times 10=600
Swap sides so that all variable terms are on the left hand side.
x=\frac{600}{10}
Divide both sides by 10.
x=60
Divide 600 by 10 to get 60.