Question

Find the value of x given the equation 2/3(2x - 6) = 4

Answer 1

Given the equation

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

First, multiply both sides of the equation by 3.

$\begin{gathered} \frac{2}{3}\times3(2x-6)=4\times3 \\ 2(2x-6)=12 \end{gathered}$

Next, open the bracket on the left-hand side

$4x-12=12$

Collect like terms

$\begin{gathered} 4x=12+12 \\ 4x=24 \end{gathered}$

Finally, divide both sides by 4

$\begin{gathered} \frac{4x}{4}=\frac{24}{4} \\ x=6 \end{gathered}$

The value of x is 6.