Solve for b d=2ab-c

$d = 2 a b - c$

Step 1

Rewrite the equation as $2 a b - c = d$ .

$2 a b - c = d$

Step 2

Add $c$ to both sides of the equation.

$2 a b = d + c$

Step 3

Divide each term in $2 a b = d + c$ by $2 a$ and simplify.

Divide each term in $2 a b = d + c$ by $2 a$ .

$\frac{2 a b}{2 a} = \frac{d}{2 a} + \frac{c}{2 a}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 a b}{2 a} = \frac{d}{2 a} + \frac{c}{2 a}$

Rewrite the expression.

$\frac{a b}{a} = \frac{d}{2 a} + \frac{c}{2 a}$

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a b}{a} = \frac{d}{2 a} + \frac{c}{2 a}$

Divide $b$ by $1$ .

$b = \frac{d}{2 a} + \frac{c}{2 a}$