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x\times 15+5\times 5=100x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of 5,x.
x\times 15+25=100x
Multiply 5 and 5 to get 25.
x\times 15+25-100x=0
Subtract 100x from both sides.
-85x+25=0
Combine x\times 15 and -100x to get -85x.
-85x=-25
Subtract 25 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-25}{-85}
Divide both sides by -85.
x=\frac{5}{17}
Reduce the fraction \frac{-25}{-85} to lowest terms by extracting and canceling out -5.