Solve for x |3x-6|=0

$| 3 x - 6 | = 0$

Step 1

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

$3 x - 6 = \pm 0$

Step 2

Plus or minus $0$ is $0$ .

$3 x - 6 = 0$

Step 3

Add $6$ to both sides of the equation.

$3 x = 6$

Step 4

Divide each term in $3 x = 6$ by $3$ and simplify.

Divide each term in $3 x = 6$ by $3$ .

$\frac{3 x}{3} = \frac{6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{6}{3}$

Divide $x$ by $1$ .

$x = \frac{6}{3}$

Simplify the right side.

Divide $6$ by $3$ .

$x = 2$