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-19=\frac{1}{5}x-9
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{5}x-9=-19
Swap sides so that all variable terms are on the left hand side.
\frac{1}{5}x=-19+9
Add 9 to both sides.
\frac{1}{5}x=-10
Add -19 and 9 to get -10.
x=-10\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=-50
Multiply -10 and 5 to get -50.