The equation is
.
Write two cases:
\Case-1: The expression inside the absolute value symbols is positive (
).
.
Case-2: The expression inside the absolute value symbols is negative (
).

(Multiply each side by negative one and flip the symbol)
(Product of two sames signs is positive)
(Product of two different signs is negative)
Solve the equation for Case-1.
\
(Subtract 4 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
The solution set is
.
Solve the equation for Case-2.
\
(Subtract 4 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
The solution set is
.
The solution set is
.