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2x+3-\frac{1}{5}x=0
Subtract \frac{1}{5}x from both sides.
\frac{9}{5}x+3=0
Combine 2x and -\frac{1}{5}x to get \frac{9}{5}x.
\frac{9}{5}x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
x=-3\times \frac{5}{9}
Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.
x=\frac{-3\times 5}{9}
Express -3\times \frac{5}{9} as a single fraction.
x=\frac{-15}{9}
Multiply -3 and 5 to get -15.
x=-\frac{5}{3}
Reduce the fraction \frac{-15}{9} to lowest terms by extracting and canceling out 3.