Algebra Examples

$x - \frac{5}{8} = - \frac{3}{4}$

Step 1

Add $\frac{5}{8}$ to both sides of the equation.

$x = - \frac{3}{4} + \frac{5}{8}$

Step 2

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

$x = - \frac{3}{4} \cdot \frac{2}{2} + \frac{5}{8}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

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

$x = - \frac{3 \cdot 2}{4 \cdot 2} + \frac{5}{8}$

Step 3.2

Multiply $4$ by $2$ .

$x = - \frac{3 \cdot 2}{8} + \frac{5}{8}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 3 \cdot 2 + 5}{8}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 3$ by $2$ .

$x = \frac{- 6 + 5}{8}$

Step 5.2

Add $- 6$ and $5$ .

$x = \frac{- 1}{8}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{1}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{8}$

Decimal Form:

$x = - 0.125$