Basic Math Examples

$7 = 2 (a + 5)$

Step 1

Rewrite the equation as $2 (a + 5) = 7$ .

$2 (a + 5) = 7$

Step 2

Divide each term in $2 (a + 5) = 7$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 (a + 5) = 7$ by $2$ .

$\frac{2 (a + 5)}{2} = \frac{7}{2}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{2 (a + 5)}{2} = \frac{7}{2}$

Step 2.2.1.2

Divide $a + 5$ by $1$ .

$a + 5 = \frac{7}{2}$

Step 3

Move all terms not containing $a$ to the right side of the equation.

Tap for more steps...

Step 3.1

Subtract $5$ from both sides of the equation.

$a = \frac{7}{2} - 5$

Step 3.2

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

$a = \frac{7}{2} - 5 \cdot \frac{2}{2}$

Step 3.3

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

$a = \frac{7}{2} + \frac{- 5 \cdot 2}{2}$

Step 3.4

Combine the numerators over the common denominator.

$a = \frac{7 - 5 \cdot 2}{2}$

Step 3.5

Simplify the numerator.

Tap for more steps...

Step 3.5.1

Multiply $- 5$ by $2$ .

$a = \frac{7 - 10}{2}$

Step 3.5.2

Subtract $10$ from $7$ .

$a = \frac{- 3}{2}$

Step 3.6

Move the negative in front of the fraction.

$a = - \frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = - \frac{3}{2}$

Decimal Form:

$a = - 1.5$

Mixed Number Form:

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