Simplify \(8\times \frac{x}{3}\) to \(\frac{8x}{3}\).
\[x+\frac{8x}{3}=17-3\times \frac{x}{6}\]
Simplify \(3\times \frac{x}{6}\) to \(\frac{x}{2}\).
\[x+\frac{8x}{3}=17-\frac{x}{2}\]
Simplify \(x+\frac{8x}{3}\) to \(\frac{11x}{3}\).
\[\frac{11x}{3}=17-\frac{x}{2}\]
Multiply both sides by \(6\) (the LCM of \(3, 2\)).
\[22x=102-3x\]
Add \(3x\) to both sides.
\[22x+3x=102\]
Simplify \(22x+3x\) to \(25x\).
\[25x=102\]
Divide both sides by \(25\).
\[x=\frac{102}{25}\]
Decimal Form: 4.08
x=102/25