Respuesta :

Explanation

We are to solve

[tex]|2x+5|=15[/tex]

To solve the question

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

Thus

[tex]\begin{gathered} 2x+5=-15\quad \mathrm{or}\quad \:2x+5=15 \\ \\ x=-10\quad \mathrm{or}\quad \:x=5 \end{gathered}[/tex]

Thus, the answer is

x = -10 or x = 5