Solve for x
x=-3
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\frac{8}{5}x=\frac{-24}{5}
Combine \frac{13}{5}x and -x to get \frac{8}{5}x.
\frac{8}{5}x=-\frac{24}{5}
Fraction \frac{-24}{5} can be rewritten as -\frac{24}{5} by extracting the negative sign.
x=-\frac{24}{5}\times \frac{5}{8}
Multiply both sides by \frac{5}{8}, the reciprocal of \frac{8}{5}.
x=\frac{-24\times 5}{5\times 8}
Multiply -\frac{24}{5} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-24}{8}
Cancel out 5 in both numerator and denominator.
x=-3
Divide -24 by 8 to get -3.
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