Question

$$\frac{2x}{3x+1}=-3$$

Answer

x=-3/11

Solution


Multiply both sides by \(3x+1\).
\[2x=-3(3x+1)\]
Expand.
\[2x=-9x-3\]
Add \(9x\) to both sides.
\[2x+9x=-3\]
Simplify  \(2x+9x\)  to  \(11x\).
\[11x=-3\]
Divide both sides by \(11\).
\[x=-\frac{3}{11}\]

Decimal Form: -0.272727