Algebra Examples

$x + 2 = \frac{5}{2}$

Step 1

Subtract $2$ from both sides of the equation.

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

Step 2

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

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

Step 3

Combine $- 2$ and $\frac{2}{2}$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 2$ by $2$ .

$x = \frac{5 - 4}{2}$

Step 5.2

Subtract $4$ from $5$ .

$x = \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$