Solve for x x-2/3=-11/12

$x - \frac{2}{3} = - \frac{11}{12}$

Step 1

Add $\frac{2}{3}$ to both sides of the equation.

$x = - \frac{11}{12} + \frac{2}{3}$

Step 2

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$x = - \frac{11}{12} + \frac{2}{3} \cdot \frac{4}{4}$

Step 3

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

Multiply $\frac{2}{3}$ by $\frac{4}{4}$ .

$x = - \frac{11}{12} + \frac{2 \cdot 4}{3 \cdot 4}$

Multiply $3$ by $4$ .

$x = - \frac{11}{12} + \frac{2 \cdot 4}{12}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 11 + 2 \cdot 4}{12}$

Step 5

Simplify the numerator.

Multiply $2$ by $4$ .

$x = \frac{- 11 + 8}{12}$

Add $- 11$ and $8$ .

$x = \frac{- 3}{12}$

Step 6

Cancel the common factor of $- 3$ and $12$ .

Factor $3$ out of $- 3$ .

$x = \frac{3 (- 1)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$x = \frac{3 \cdot - 1}{3 \cdot 4}$

Cancel the common factor.

$x = \frac{3 \cdot - 1}{3 \cdot 4}$

Rewrite the expression.

$x = \frac{- 1}{4}$

Step 7

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$