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\frac{7}{3}x+2=0
Swap sides so that all variable terms are on the left hand side.
\frac{7}{3}x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=-2\times \frac{3}{7}
Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.
x=\frac{-2\times 3}{7}
Express -2\times \frac{3}{7} as a single fraction.
x=\frac{-6}{7}
Multiply -2 and 3 to get -6.
x=-\frac{6}{7}
Fraction \frac{-6}{7} can be rewritten as -\frac{6}{7} by extracting the negative sign.