Algebra Examples

$- 6 + | x - 4 | = - 6$

Step 1

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

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Step 1.1

Add $6$ to both sides of the equation.

$| x - 4 | = - 6 + 6$

Step 1.2

Add $- 6$ and $6$ .

$| x - 4 | = 0$

Step 2

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 3

Plus or minus $0$ is $0$ .

$x - 4 = 0$

Step 4

Add $4$ to both sides of the equation.

$x = 4$

Step 5