Solve for x 1/2|x|+3=3

$\frac{1}{2} | x | + 3 = 3$

Step 1

Combine $\frac{1}{2}$ and $| x |$ .

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

Step 2

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

Subtract $3$ from both sides of the equation.

$\frac{| x |}{2} = 3 - 3$

Subtract $3$ from $3$ .

$\frac{| x |}{2} = 0$

Step 3

Set the numerator equal to zero.

$| x | = 0$

Step 4

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

$x = \pm 0$

Step 5

Plus or minus $0$ is $0$ .

$x = 0$

Step 6

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

$x = \pm 0$

Step 7

Plus or minus $0$ is $0$ .

$x = 0$