Basic Math Examples

$l = \frac{a - b}{2}$

Step 1

Rewrite the equation as $\frac{a - b}{2} = l$ .

$\frac{a - b}{2} = l$

Step 2

Multiply both sides by $2$ .

$\frac{a - b}{2} \cdot 2 = l \cdot 2$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1.1.1

Cancel the common factor.

$\frac{a - b}{2} \cdot 2 = l \cdot 2$

Step 3.1.1.2

Rewrite the expression.

$a - b = l \cdot 2$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Move $2$ to the left of $l$ .

$a - b = 2 l$

Step 4

Solve for $b$ .

Tap for more steps...

Step 4.1

Subtract $a$ from both sides of the equation.

$- b = 2 l - a$

Step 4.2

Divide each term in $- b = 2 l - a$ by $- 1$ and simplify.

Tap for more steps...

Step 4.2.1

Divide each term in $- b = 2 l - a$ by $- 1$ .

$\frac{- b}{- 1} = \frac{2 l}{- 1} + \frac{- a}{- 1}$

Step 4.2.2

Simplify the left side.

Tap for more steps...

Step 4.2.2.1

Dividing two negative values results in a positive value.

$\frac{b}{1} = \frac{2 l}{- 1} + \frac{- a}{- 1}$

Step 4.2.2.2

Divide $b$ by $1$ .

$b = \frac{2 l}{- 1} + \frac{- a}{- 1}$

Step 4.2.3

Simplify the right side.

Tap for more steps...

Step 4.2.3.1

Simplify each term.

Tap for more steps...

Step 4.2.3.1.1

Move the negative one from the denominator of $\frac{2 l}{- 1}$ .

$b = - 1 \cdot (2 l) + \frac{- a}{- 1}$

Step 4.2.3.1.2

Rewrite $- 1 \cdot (2 l)$ as $- (2 l)$ .

$b = - (2 l) + \frac{- a}{- 1}$

Step 4.2.3.1.3

Multiply $2$ by $- 1$ .

$b = - 2 l + \frac{- a}{- 1}$

Step 4.2.3.1.4

Dividing two negative values results in a positive value.

$b = - 2 l + \frac{a}{1}$

Step 4.2.3.1.5

Divide $a$ by $1$ .

$b = - 2 l + a$