Question

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

Answer 1

Given the equation

`(2)/(3)(2x-6)=4`

First, multiply both sides of the equation by 3.

`\begin{gathered} (2)/(3)*3(2x-6)=4*3 \\ 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} (4x)/(4)=(24)/(4) \\ x=6 \end{gathered}`

The value of x is 6.