Solve for x -5|x+1|=10

$- 5 | x + 1 | = 10$

Divide each term by $- 5$ and simplify.

Tap for more steps…

Divide each term in $- 5 | x + 1 | = 10$ by $- 5$ .

$\frac{- 5 | x + 1 |}{- 5} = \frac{10}{- 5}$

Cancel the common factor of $- 5$ .

Tap for more steps…

Cancel the common factor.

$\frac{- 5 | x + 1 |}{- 5} = \frac{10}{- 5}$

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

$| x + 1 | = \frac{10}{- 5}$

Divide $10$ by $- 5$ .

$| x + 1 | = - 2$

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$x + 1 = \pm (- 2)$

Set up the positive portion of the $\pm$ solution.

$x + 1 = - 2$

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

Tap for more steps…

Subtract $1$ from both sides of the equation.

$x = - 2 - 1$

Subtract $1$ from $- 2$ .

$x = - 3$

Set up the negative portion of the $\pm$ solution.

$x + 1 = 2$

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

Tap for more steps…

Subtract $1$ from both sides of the equation.

$x = 2 - 1$

Subtract $1$ from $2$ .

$x = 1$

The solution to the equation includes both the positive and negative portions of the solution.

$x = - 3, 1$

Exclude the solutions that do not make $- 5 | x + 1 | = 10$ true.

No solution

Solve for x -5|x+1|=10

Download our
App from the store