Solve for O A=(FV-OV)/T

$A = \frac{F V - O V}{T}$

Step 1

Rewrite the equation as $\frac{F V - O V}{T} = A$ .

$\frac{F V - O V}{T} = A$

Step 2

Multiply both sides by $T$ .

$\frac{F V - O V}{T} T = A T$

Step 3

Simplify the left side.

Cancel the common factor of $T$ .

Cancel the common factor.

$\frac{F V - O V}{T} T = A T$

Rewrite the expression.

$F V - O V = A T$

Step 4

Solve for $O$ .

Subtract $F V$ from both sides of the equation.

$- O V = A T - F V$

Divide each term in $- O V = A T - F V$ by $- 1 V$ and simplify.

Divide each term in $- O V = A T - F V$ by $- 1 V$ .

$\frac{- O V}{- 1 V} = \frac{A T}{- 1 V} + \frac{- F V}{- 1 V}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{O V}{V} = \frac{A T}{- 1 V} + \frac{- F V}{- 1 V}$

Cancel the common factor of $V$ .

Cancel the common factor.

$\frac{O V}{V} = \frac{A T}{- 1 V} + \frac{- F V}{- 1 V}$

Divide $O$ by $1$ .

$O = \frac{A T}{- 1 V} + \frac{- F V}{- 1 V}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$O = - \frac{A T}{V} + \frac{- F V}{- 1 V}$

Dividing two negative values results in a positive value.

$O = - \frac{A T}{V} + \frac{F V}{V}$

Cancel the common factor of $V$ .

Cancel the common factor.

$O = - \frac{A T}{V} + \frac{F V}{V}$

Divide $F$ by $1$ .

$O = - \frac{A T}{V} + F$