Given:
[tex]2|x+2|-4=10[/tex]To solve for x:
Explanation:
On simplification we get,
[tex]\begin{gathered} 2|x+2|=10+4 \\ 2|x+2|=14 \\ |x+2|=7 \end{gathered}[/tex]Case (i):
Let us take,
[tex]\begin{gathered} x+2=7 \\ x=7-2 \\ x=5 \end{gathered}[/tex]Case (ii):
Let us take,
[tex]\begin{gathered} -(x+2)=7 \\ x+2=-7 \\ x=-7-2 \\ x=-9 \end{gathered}[/tex]Thus, the values of x are 5 and -9.
Final answer:
The values of x are,
[tex]-9\text{ }and\text{ 5}[/tex]