QUESTION 3 - 1 POINT
Find the solutions to the following absolute value equation.
\[
7|x+5|+4=8
\]
Separate multiple answers with a comma.
Provide your answer below:
\[
x=
\]

Step 1 ：First, isolate the absolute value expression by subtracting 4 from both sides of the equation to get \(7|x+5|=4\). Then, divide both sides by 7 to get \(|x+5| = \frac{4}{7}\).

Step 2 ：Next, split the equation into two separate equations, one for the positive value and one for the negative value of the absolute value expression. This gives us \(x+5 = \frac{4}{7}\) and \(-x-5 = \frac{4}{7}\).

Step 3 ：Solve each equation separately to find the solutions. Solving the first equation gives \(x = -\frac{31}{7}\). Solving the second equation gives \(x = -\frac{39}{7}\).

Step 4 ：Final Answer: The solutions to the equation are \(x= \boxed{-\frac{31}{7}, -\frac{39}{7}}\).