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\frac{5}{2}x=-\frac{2}{5}
Subtract \frac{2}{5} from both sides. Anything subtracted from zero gives its negation.
x=-\frac{2}{5}\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=\frac{-2\times 2}{5\times 5}
Multiply -\frac{2}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-4}{25}
Do the multiplications in the fraction \frac{-2\times 2}{5\times 5}.
x=-\frac{4}{25}
Fraction \frac{-4}{25} can be rewritten as -\frac{4}{25} by extracting the negative sign.