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\frac{3}{7}x+5=0
Multiply both sides by \frac{1}{5}. Anything times zero gives zero.
\frac{3}{7}x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=-5\times \frac{7}{3}
Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}.
x=\frac{-5\times 7}{3}
Express -5\times \frac{7}{3} as a single fraction.
x=\frac{-35}{3}
Multiply -5 and 7 to get -35.
x=-\frac{35}{3}
Fraction \frac{-35}{3} can be rewritten as -\frac{35}{3} by extracting the negative sign.