Question

Solve for x. 4 = 2/3 (6x + 9)

Answer 1

The given expression is

$4=\frac{2}{3}(6x+9)$

First, we multiply each side by 3/2.

$\begin{gathered} \frac{3}{2}\cdot4=\frac{3}{2}\cdot\frac{2}{3}(6x+9) \\ 6=6x+9 \end{gathered}$

Then, we subtract 9 from each side

$\begin{gathered} 6-9=6x+9-9 \\ -3=6x \end{gathered}$

At last, we divide the equation by 6.

$\begin{gathered} -\frac{3}{6}=\frac{6x}{6} \\ x=-\frac{1}{2} \end{gathered}$

Hence, the solution is x = -1/2.