Question

Solve | 2x + 5| = 15

Answer 1

Step-by-step explanation

We are to solve

`|2x+5|=15`

To solve the question

`\mathrm{Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a`

Thus

`\begin{gathered} 2x+5=-15\quad \mathrm{or}\quad \:2x+5=15 \\ \\ x=-10\quad \mathrm{or}\quad \:x=5 \end{gathered}`

Thus, the answer is

x = -10 or x = 5