To solve the equation [tex]\(\frac{3}{a} x - 4 = 20\)[/tex] for [tex]\(x\)[/tex] and express its value in terms of [tex]\(a\)[/tex], follow these steps:
1. Add 4 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
\frac{3}{a} x - 4 + 4 = 20 + 4
\][/tex]
Simplifying this, we get:
[tex]\[
\frac{3}{a} x = 24
\][/tex]
2. Multiply both sides of the equation by [tex]\(\frac{a}{3}\)[/tex] to solve for [tex]\(x\)[/tex]:
[tex]\[
x = 24 \cdot \frac{a}{3}
\][/tex]
3. Simplify the expression:
[tex]\[
x = 8a
\][/tex]
Thus, the value of [tex]\(x\)[/tex] in terms of [tex]\(a\)[/tex] is:
[tex]\[
x = 8a
\][/tex]
Therefore, the correct answer is [tex]\(x = 8a\)[/tex].
