\(\frac{5}{6}\times(x+4)=15\)
\(\frac{5x}{6}+\frac{20}{6}=15\)
\(\frac{5x+20}{6}=15\)
\(\frac{5x+20}{6}\times6=15\times6\)
\(5x+20=15\times6\)
\(5x+20=90\)
\(5x+20-20=90-20\)
\(5x+0=90-20\)
\(5x=90-20\)
\(5x=70\)
\(\frac{5x}{5}=\frac{70}{5}\)
\(1x=\frac{70}{5}\)
\(x=\frac{70}{5}\)
\(x=14\)
.