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Verified Answer :

equation given
\(\frac{6}{7}\x-8=7\)

calculations
add 8 to both sides \(\frac{6}{7}x-8+8=7+8\)
divide both sides by 6/7...
which means multiply by 7/6 \(\frac{6}{7}x\times\frac{7}{6}=15\times\frac{7}{6}\)

So now you have \(x=15\times\frac{7}{6}=\frac{15\times7}{6}=\frac{105}{6}=17.5\)

(Excuse me, I'm not used to the wonky LaTeX on this site...)