Algebra Examples

$2 (| x + 4 | + 3) = 6$

Step 1

Divide each term in $2 (| x + 4 | + 3) = 6$ by $2$ and simplify.

Tap for more steps...

Step 1.1

Divide each term in $2 (| x + 4 | + 3) = 6$ by $2$ .

$\frac{2 (| x + 4 | + 3)}{2} = \frac{6}{2}$

Step 1.2

Simplify the left side.

Tap for more steps...

Step 1.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.2.1.1

Cancel the common factor.

$\frac{2 (| x + 4 | + 3)}{2} = \frac{6}{2}$

Step 1.2.1.2

Divide $| x + 4 | + 3$ by $1$ .

$| x + 4 | + 3 = \frac{6}{2}$

Step 1.3

Simplify the right side.

Tap for more steps...

Step 1.3.1

Divide $6$ by $2$ .

$| x + 4 | + 3 = 3$

Step 2

Move all terms not containing $| x + 4 |$ to the right side of the equation.

Tap for more steps...

Step 2.1

Subtract $3$ from both sides of the equation.

$| x + 4 | = 3 - 3$

Step 2.2

Subtract $3$ from $3$ .

$| x + 4 | = 0$

Step 3

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

$x + 4 = \pm 0$

Step 4

Plus or minus $0$ is $0$ .

$x + 4 = 0$

Step 5

Subtract $4$ from both sides of the equation.

$x = - 4$

Step 6

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

$x + 4 = \pm 0$

Step 7

Plus or minus $0$ is $0$ .

$x + 4 = 0$

Step 8

Subtract $4$ from both sides of the equation.

$x = - 4$