Solve for x
x=1
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\frac{1}{5}x=-\frac{9}{5}+2
Add 2 to both sides.
\frac{1}{5}x=-\frac{9}{5}+\frac{10}{5}
Convert 2 to fraction \frac{10}{5}.
\frac{1}{5}x=\frac{-9+10}{5}
Since -\frac{9}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.
\frac{1}{5}x=\frac{1}{5}
Add -9 and 10 to get 1.
x=\frac{1}{5}\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=1
Cancel out 5 and 5.
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