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x\times 7.5=6\times 10
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6x, the least common multiple of 6,x.
x\times 7.5=60
Multiply 6 and 10 to get 60.
x=\frac{60}{7.5}
Divide both sides by 7.5.
x=\frac{600}{75}
Expand \frac{60}{7.5} by multiplying both numerator and the denominator by 10.
x=8
Divide 600 by 75 to get 8.