Solve for I p=(A-I)/L

$p = \frac{A - I}{L}$

Step 1

Rewrite the equation as $\frac{A - I}{L} = p$ .

$\frac{A - I}{L} = p$

Step 2

Multiply both sides by $L$ .

$\frac{A - I}{L} L = p L$

Step 3

Simplify the left side.

Cancel the common factor of $L$ .

Cancel the common factor.

$\frac{A - I}{L} L = p L$

Rewrite the expression.

$A - I = p L$

Step 4

Solve for $I$ .

Subtract $A$ from both sides of the equation.

$- I = p L - A$

Divide each term in $- I = p L - A$ by $- 1$ and simplify.

Divide each term in $- I = p L - A$ by $- 1$ .

$\frac{- I}{- 1} = \frac{p L}{- 1} + \frac{- A}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{I}{1} = \frac{p L}{- 1} + \frac{- A}{- 1}$

Divide $I$ by $1$ .

$I = \frac{p L}{- 1} + \frac{- A}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{p L}{- 1}$ .

$I = - 1 \cdot (p L) + \frac{- A}{- 1}$

Rewrite $- 1 \cdot (p L)$ as $- (p L)$ .

$I = - (p L) + \frac{- A}{- 1}$

Dividing two negative values results in a positive value.

$I = - p L + \frac{A}{1}$

Divide $A$ by $1$ .

$I = - p L + A$