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

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

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} | x - 3 |) = 2 \cdot - 2$

Simplify both sides of the equation.

Simplify the left side.

Simplify $2 (\frac{1}{2} | x - 3 |)$ .

Combine $\frac{1}{2}$ and $| x - 3 |$ .

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$| x - 3 | = 2 \cdot - 2$

Simplify the right side.

Multiply $2$ by $- 2$ .

$| x - 3 | = - 4$

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution