Question

For what value of x does
`(2x - 4)/(x + 7) = (1)/(3)`A) 2B) 19/5C) 33/5D) -7

Answer 1

`(2x-4)/(x+7)=(1)/(3)`
`\begin{gathered} \text{Multiply both sides by (x+7):} \\ 2x-4=(x+7)/(3) \\ \text{Multiply both sides by 3:} \\ 6x-12=x+7 \\ \text{Subtract x from both sides:} \\ 5x-12=7 \\ \text{add 12 to both sides:} \\ 5x=19 \\ \text{Divide both sides by 5:} \\ x=(19)/(5) \end{gathered}`