

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 addition property of equality: Add 10 to each side.
\
(Add:
)
Apply division property of equality: Divide each side by 7.
\
(Cancel common terms)

Solve equation 2 is
.
(Add 10 to each side)
(Add:
)
(Divide each side by 7)
(Cancel common terms)
The solution set is
.