Respuesta :

Simplify the equation 2+|5+4x|=11 to obtain the value of x.

[tex]\begin{gathered} 2+|5+4x|=11 \\ |5+4x|=9 \end{gathered}[/tex]

So equation |5+4x|=9 can be simplified as,

5+4x=9 and 5+4x=-9.

Simplify the equation 5+4x=9 to obtain the value of x.

[tex]\begin{gathered} 5+4x=9 \\ 4x=9-5 \\ 4x=4 \\ x=1 \end{gathered}[/tex]

Simlify the equation 5+4x=-9 t obtain the value of x.

[tex]\begin{gathered} 5+4x=-9 \\ 4x=-14 \\ x=\frac{-14}{4} \\ =\frac{-7}{2} \end{gathered}[/tex]

So values of x is 1 and -7/4.