Solve for a 5a=3-ab

$5 a = 3 - a b$

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

$5 a + a b = 3$

Factor $a$ out of $5 a + a b$ .

Factor $a$ out of $5 a$ .

$a \cdot 5 + a b = 3$

Factor $a$ out of $a b$ .

$a \cdot 5 + a (b) = 3$

Factor $a$ out of $a \cdot 5 + a (b)$ .

$a (5 + b) = 3$

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

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

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

Simplify the left side.

Cancel the common factor of $5 + b$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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