

The equation is
.
To solve an absolute value equation is
,where c > o.
First it can write two equations.
\Equation 1: 

Equation 2: 
Solve equation 1 is
.
Apply subtraction property of equality: Subtract 7 from each side.
\
(Subtract:
)
Apply division property of equality: Divide each side by 4.
\
(Cancel common terms)
Solve equation 2 is
.
(Subtract 7 from each side)
(Subtract:
)
(Divide each side by 4)
(Cancel comman terms)
The solution set is
.