Solve for x 3x=-1/2

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

Step 1

Divide each term in $3 x = - \frac{1}{2}$ by $3$ .

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

Step 2

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Step 3

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $- \frac{1}{2} \cdot \frac{1}{3}$ .

Multiply $\frac{1}{3}$ by $\frac{1}{2}$ .

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

Multiply $3$ by $2$ .

$x = - \frac{1}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{6}$

Decimal Form:

$x = - 0.1\overline{6}$