Algebra Examples

$X + 5 = \frac{3 x + 13}{2}$

Step 1

Subtract $5$ from both sides of the equation.

$X = \frac{3 x + 13}{2} - 5$

Step 2

Split the fraction $\frac{3 x + 13}{2}$ into two fractions.

$X = \frac{3 x}{2} + \frac{13}{2} - 5$

Step 3

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$X = \frac{3 x}{2} + \frac{13}{2} - 5 \cdot \frac{2}{2}$

Step 4

Combine $- 5$ and $\frac{2}{2}$ .

$X = \frac{3 x}{2} + \frac{13}{2} + \frac{- 5 \cdot 2}{2}$

Step 5

Combine the numerators over the common denominator.

$X = \frac{3 x}{2} + \frac{13 - 5 \cdot 2}{2}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $- 5$ by $2$ .

$X = \frac{3 x}{2} + \frac{13 - 10}{2}$

Step 6.2

Subtract $10$ from $13$ .

$X = \frac{3 x}{2} + \frac{3}{2}$