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0.95x-0.05=0
Combine x and -0.05x to get 0.95x.
0.95x=0.05
Add 0.05 to both sides. Anything plus zero gives itself.
x=\frac{0.05}{0.95}
Divide both sides by 0.95.
x=\frac{5}{95}
Expand \frac{0.05}{0.95} by multiplying both numerator and the denominator by 100.
x=\frac{1}{19}
Reduce the fraction \frac{5}{95} to lowest terms by extracting and canceling out 5.