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5x=8\times 75
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of 8,x.
5x=600
Multiply 8 and 75 to get 600.
x=\frac{600}{5}
Divide both sides by 5.
x=120
Divide 600 by 5 to get 120.