Solution:
Given the expression below
[tex]4|8x-2|=8[/tex]
Applying the absolute rule, which is
[tex]if\text{ \mid u\mid=a, a}>0,\text{ then u}=-a\text{ or u}=a[/tex]
Applying the rule above, the expression becomes
[tex]\begin{gathered} 4|8x-2|=8 \\ Divide\text{ both sides by 4} \\ |8x-2|=2 \\ -2=8x-2=2 \end{gathered}[/tex]
Hence, a new equivalent equation that is easier to solve is
[tex]-2=8x-2=2[/tex]
