Solve for b ab-3a=5

$a b - 3 a = 5$

Add $3 a$ to both sides of the equation.

$a b = 5 + 3 a$

Divide each term in $a b = 5 + 3 a$ by $a$ and simplify.

Divide each term in $a b = 5 + 3 a$ by $a$ .

$\frac{a b}{a} = \frac{5}{a} + \frac{3 a}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a b}{a} = \frac{5}{a} + \frac{3 a}{a}$

Divide $b$ by $1$ .

$b = \frac{5}{a} + \frac{3 a}{a}$

Simplify the right side.

Cancel the common factor of $a$ .

Cancel the common factor.

$b = \frac{5}{a} + \frac{3 a}{a}$

Divide $3$ by $1$ .

$b = \frac{5}{a} + 3$