Question

$$x+8x/3=17-3x/6$$

Answer

x=102/25

Solution


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