Solve for x x+5/12=-1/6

$x + \frac{5}{12} = - \frac{1}{6}$

Step 1

Subtract $\frac{5}{12}$ from both sides of the equation.

$x = - \frac{1}{6} - \frac{5}{12}$

Step 2

To write $- \frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = - \frac{1}{6} \cdot \frac{2}{2} - \frac{5}{12}$

Step 3

Write each expression with a common denominator of $12$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{6}$ by $\frac{2}{2}$ .

$x = - \frac{2}{6 \cdot 2} - \frac{5}{12}$

Multiply $6$ by $2$ .

$x = - \frac{2}{12} - \frac{5}{12}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 2 - 5}{12}$

Step 5

Subtract $5$ from $- 2$ .

$x = \frac{- 7}{12}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{7}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{7}{12}$

Decimal Form:

$x = - 0.58\overline{3}$