Solve for c a-b+cd=e

$a - b + c d = e$

Step 1

Move all terms not containing $c$ to the right side of the equation.

Subtract $a$ from both sides of the equation.

$- b + c d = e - a$

Add $b$ to both sides of the equation.

$c d = e - a + b$

Step 2

Divide each term in $c d = e - a + b$ by $d$ and simplify.

Divide each term in $c d = e - a + b$ by $d$ .

$\frac{c d}{d} = \frac{e}{d} + \frac{- a}{d} + \frac{b}{d}$

Simplify the left side.

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{c d}{d} = \frac{e}{d} + \frac{- a}{d} + \frac{b}{d}$

Divide $c$ by $1$ .

$c = \frac{e}{d} + \frac{- a}{d} + \frac{b}{d}$

Simplify the right side.

Move the negative in front of the fraction.

$c = \frac{e}{d} - \frac{a}{d} + \frac{b}{d}$