Question

$$9x/(7-6x)=15$$

Answer

x=35/33

Solution


Simplify  \(9\times \frac{x}{7-6x}\)  to  \(\frac{9x}{7-6x}\).
\[\frac{9x}{7-6x}=15\]
Multiply both sides by \(7-6x\).
\[9x=15(7-6x)\]
Expand.
\[9x=105-90x\]
Add \(90x\) to both sides.
\[9x+90x=105\]
Simplify  \(9x+90x\)  to  \(99x\).
\[99x=105\]
Divide both sides by \(99\).
\[x=\frac{105}{99}\]
Simplify  \(\frac{105}{99}\)  to  \(\frac{35}{33}\).
\[x=\frac{35}{33}\]

Decimal Form: 1.060606