Question

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

Answer 1

The given expression is

`4=(2)/(3)(6x+9)`

First, we multiply each side by 3/2.

`\begin{gathered} (3)/(2)\cdot4=(3)/(2)\cdot(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} -(3)/(6)=(6x)/(6) \\ x=-(1)/(2) \end{gathered}`

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