Question

solve for x.
4|x + 8| - 44 = -44
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
x = \boxed{}

Explanation:

Step1: Isolate the absolute value

Start with the equation \( 4|x + 8| - 44 = -44 \). Add 44 to both sides to isolate the absolute value term.
\( 4|x + 8| - 44 + 44 = -44 + 44 \)
\( 4|x + 8| = 0 \)

Step2: Solve for the absolute value

Divide both sides by 4 to solve for \( |x + 8| \).
\( \frac{4|x + 8|}{4} = \frac{0}{4} \)
\( |x + 8| = 0 \)

Step3: Solve the absolute value equation

The absolute value of a number is 0 only when the number itself is 0. So we set \( x + 8 = 0 \).
\( x + 8 = 0 \)
Subtract 8 from both sides:
\( x + 8 - 8 = 0 - 8 \)
\( x = -8 \)

Answer:

\( x = -8 \)