Solve for x 3+4|3x+7|=-89

$3 + 4 | 3 x + 7 | = - 89$

Step 1

Move all terms not containing $| 3 x + 7 |$ to the right side of the equation.

Subtract $3$ from both sides of the equation.

$4 | 3 x + 7 | = - 89 - 3$

Subtract $3$ from $- 89$ .

$4 | 3 x + 7 | = - 92$

Step 2

Divide each term in $4 | 3 x + 7 | = - 92$ by $4$ and simplify.

Divide each term in $4 | 3 x + 7 | = - 92$ by $4$ .

$\frac{4 | 3 x + 7 |}{4} = \frac{- 92}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 | 3 x + 7 |}{4} = \frac{- 92}{4}$

Divide $| 3 x + 7 |$ by $1$ .

$| 3 x + 7 | = \frac{- 92}{4}$

Simplify the right side.

Divide $- 92$ by $4$ .

$| 3 x + 7 | = - 23$

Step 3

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

No solution