Solve for a ax-5=b

$a x - 5 = b$

Add $5$ to both sides of the equation.

$a x = b + 5$

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

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

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Divide $a$ by $1$ .

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