Algebra Examples

$S = 2 (a b + a x)$

Step 1

Rewrite the equation as $2 (a b + a x) = S$ .

$2 (a b + a x) = S$

Step 2

Divide each term in $2 (a b + a x) = S$ by $2$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $2 (a b + a x) = S$ by $2$ .

$\frac{2 (a b + a x)}{2} = \frac{S}{2}$

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.

$\frac{2 (a b + a x)}{2} = \frac{S}{2}$

Step 2.2.1.2

Divide $a b + a x$ by $1$ .

$a b + a x = \frac{S}{2}$

Step 3

Factor $a$ out of $a b + a x$ .

Tap for more steps...

Step 3.1

Factor $a$ out of $a b$ .

$a (b) + a x = \frac{S}{2}$

Step 3.2

Factor $a$ out of $a x$ .

$a (b) + a (x) = \frac{S}{2}$

Step 3.3

Factor $a$ out of $a (b) + a (x)$ .

$a (b + x) = \frac{S}{2}$

Step 4

Divide each term in $a (b + x) = \frac{S}{2}$ by $b + x$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $a (b + x) = \frac{S}{2}$ by $b + x$ .

$\frac{a (b + x)}{b + x} = \frac{\frac{S}{2}}{b + x}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $b + x$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{a (b + x)}{b + x} = \frac{\frac{S}{2}}{b + x}$

Step 4.2.1.2

Divide $a$ by $1$ .

$a = \frac{\frac{S}{2}}{b + x}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Multiply the numerator by the reciprocal of the denominator.

$a = \frac{S}{2} \cdot \frac{1}{b + x}$

Step 4.3.2

Multiply $\frac{S}{2}$ by $\frac{1}{b + x}$ .

$a = \frac{S}{2 (b + x)}$