Solve for a ba+c=d

$b a + c = d$

Step 1

Subtract $c$ from both sides of the equation.

$b a = d - c$

Step 2

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

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

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

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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