22. $\\frac{8}{ax}-5=-3$

Explanation:

Step1: Isolate the fraction term

Add (5) to both sides of the equation (\frac{8}{ax}-5 = - 3). $$\frac{8}{ax}-5 + 5=-3 + 5$$ $$\frac{8}{ax}=2$$

Step2: Solve for (ax)

Cross - multiply. If (\frac{8}{ax}=2), then (2\times ax=8) (since (\frac{a}{b}=c) implies (a = b\times c)). $$2ax = 8$$ Divide both sides by (2): $$ax=\frac{8}{2}$$ $$ax = 4$$

Step3: Solve for (x) (assuming (a\neq0))

Divide both sides of (ax = 4) by (a). $$x=\frac{4}{a}(a\neq0)$$

Answer:

(x = \frac{4}{a}(a\neq0))