Algebra Examples

$x + \frac{9}{2} = 4$

Step 1

Subtract $\frac{9}{2}$ from both sides of the equation.

$x = 4 - \frac{9}{2}$

Step 2

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

$x = 4 \cdot \frac{2}{2} - \frac{9}{2}$

Step 3

Combine $4$ and $\frac{2}{2}$ .

$x = \frac{4 \cdot 2}{2} - \frac{9}{2}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{4 \cdot 2 - 9}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $2$ .

$x = \frac{8 - 9}{2}$

Step 5.2

Subtract $9$ from $8$ .

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

Step 6

Move the negative in front of the fraction.

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

Step 7

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 0.5$