Solve for x x-3/8=-5/8

$x - \frac{3}{8} = - \frac{5}{8}$

Step 1

Add $\frac{3}{8}$ to both sides of the equation.

$x = - \frac{5}{8} + \frac{3}{8}$

Step 2

Combine the numerators over the common denominator.

$x = \frac{- 5 + 3}{8}$

Step 3

Add $- 5$ and $3$ .

$x = \frac{- 2}{8}$

Step 4

Cancel the common factor of $- 2$ and $8$ .

Factor $2$ out of $- 2$ .

$x = \frac{2 (- 1)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$x = \frac{2 \cdot - 1}{2 \cdot 4}$

Cancel the common factor.

$x = \frac{2 \cdot - 1}{2 \cdot 4}$

Rewrite the expression.

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

Step 5

Move the negative in front of the fraction.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.25$