Question

solve for x: |2x + 6| − 4 = 20 Group of answer choicesx = 9 and x = 11x = −9 and x = 15x = 9 and x = −15No solution

Answer 1

Given,

`|2x+6|-4=20`

On simplifying,

`\begin{gathered} |2x+6|=20+4 \\ \Rightarrow|2x+6|=24 \\ 2x+6=\pm24 \end{gathered}`

Thus,

`\begin{gathered} 2x=+24-6 \\ \Rightarrow x=(18)/(2) \\ =9 \end{gathered}`

Or

`\begin{gathered} 2x=-24-6 \\ x=(-30)/(2) \\ =-15 \end{gathered}`

Thus, x=9 and x=-15

Therefore the correct answer is the third option