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

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

Step 1

Subtract $\frac{1}{12}$ from both sides of the equation.

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

Step 2

To write $- \frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 3

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

Multiply $\frac{5}{6}$ by $\frac{2}{2}$ .

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

Multiply $6$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $- 5$ by $2$ .

$x = \frac{- 10 - 1}{12}$

Subtract $1$ from $- 10$ .

$x = \frac{- 11}{12}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{11}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{11}{12}$

Decimal Form:

$x = - 0.91\overline{6}$