Solve for I Q=(V-I)/L

$Q = \frac{V - I}{L}$

Rewrite the equation as $\frac{V - I}{L} = Q$ .

$\frac{V - I}{L} = Q$

Multiply both sides by $L$ .

$\frac{V - I}{L} L = Q L$

Simplify the left side.

Simplify $\frac{V - I}{L} L$ .

Cancel the common factor of $L$ .

Cancel the common factor.

$\frac{V - I}{L} L = Q L$

Rewrite the expression.

$V - I = Q L$

Reorder $V$ and $- I$ .

$- I + V = Q L$

Solve for $I$ .

Subtract $V$ from both sides of the equation.

$- I = Q L - V$

Divide each term in $- I = Q L - V$ by $- 1$ and simplify.

Divide each term in $- I = Q L - V$ by $- 1$ .

$\frac{- I}{- 1} = \frac{Q L}{- 1} + \frac{- V}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{I}{1} = \frac{Q L}{- 1} + \frac{- V}{- 1}$

Divide $I$ by $1$ .

$I = \frac{Q L}{- 1} + \frac{- V}{- 1}$

Simplify the right side.

Simplify each term.

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

$I = - 1 \cdot (Q L) + \frac{- V}{- 1}$

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

$I = - (Q L) + \frac{- V}{- 1}$

Dividing two negative values results in a positive value.

$I = - Q L + \frac{V}{1}$

Divide $V$ by $1$ .

$I = - Q L + V$