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15\times 6=x\times 10
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x, the least common multiple of x,15.
90=x\times 10
Multiply 15 and 6 to get 90.
x\times 10=90
Swap sides so that all variable terms are on the left hand side.
x=\frac{90}{10}
Divide both sides by 10.
x=9
Divide 90 by 10 to get 9.