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x\times 8=10\times 7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 10,x.
x\times 8=70
Multiply 10 and 7 to get 70.
x=\frac{70}{8}
Divide both sides by 8.
x=\frac{35}{4}
Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.