Solve the Absolute Value Inequality for x 5|x+3|+8=6

$5 | x + 3 | + 8 = 6$

Step 1

Move all terms not containing $| x + 3 |$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$5 | x + 3 | = 6 - 8$

Subtract $8$ from $6$ .

$5 | x + 3 | = - 2$

Step 2

Divide each term in $5 | x + 3 | = - 2$ by $5$ and simplify.

Divide each term in $5 | x + 3 | = - 2$ by $5$ .

$\frac{5 | x + 3 |}{5} = \frac{- 2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 | x + 3 |}{5} = \frac{- 2}{5}$

Divide $| x + 3 |$ by $1$ .

$| x + 3 | = \frac{- 2}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$| x + 3 | = - \frac{2}{5}$

Step 3

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution