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:
$x =$

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Answer

Final Answer: The solutions to the equation are $x = - \frac{31}{7}, - \frac{39}{7}$ .

Steps

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 $x = - \frac{31}{7}, - \frac{39}{7}$ .

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

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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:
$x =$