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x-\frac{2\left(-7\right)}{5}x=5
Express 2\left(-\frac{7}{5}\right) as a single fraction.
x-\frac{-14}{5}x=5
Multiply 2 and -7 to get -14.
x-\left(-\frac{14}{5}x\right)=5
Fraction \frac{-14}{5} can be rewritten as -\frac{14}{5} by extracting the negative sign.
x+\frac{14}{5}x=5
The opposite of -\frac{14}{5}x is \frac{14}{5}x.
\frac{19}{5}x=5
Combine x and \frac{14}{5}x to get \frac{19}{5}x.
x=5\times \frac{5}{19}
Multiply both sides by \frac{5}{19}, the reciprocal of \frac{19}{5}.
x=\frac{5\times 5}{19}
Express 5\times \frac{5}{19} as a single fraction.
x=\frac{25}{19}
Multiply 5 and 5 to get 25.