29 if $f(x)=\frac{-3x - 5}{2}$, algebraically determine the value of $x$ when $f(x)=-22$.

Explanation:

Step1: Substitute f(x) value

Set $\frac{-3x - 5}{2}=-22$.

Step2: Multiply both sides by 2

$-3x - 5=-22\times2$, so $-3x - 5=-44$.

Step3: Add 5 to both sides

$-3x=-44 + 5$, thus $-3x=-39$.

Step4: Divide both sides by -3

$x=\frac{-39}{-3}$, so $x = 13$.

Answer:

$x = 13$