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\frac{7}{4}x=-8
Subtract 8 from both sides. Anything subtracted from zero gives its negation.
x=-8\times \frac{4}{7}
Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.
x=\frac{-8\times 4}{7}
Express -8\times \frac{4}{7} as a single fraction.
x=\frac{-32}{7}
Multiply -8 and 4 to get -32.
x=-\frac{32}{7}
Fraction \frac{-32}{7} can be rewritten as -\frac{32}{7} by extracting the negative sign.