Question

question
enter the correct answer in the box.
rewrite the equation for x, and express its value in terms of a.
\\(\frac{3}{a}x - 4 = 20\\)
\\(x =\\)

Explanation:

Step1: Add 4 to both sides

To isolate the term with \( x \), we add 4 to both sides of the equation \(\frac{3}{a}x - 4 = 20\). This gives us \(\frac{3}{a}x - 4 + 4 = 20 + 4\), which simplifies to \(\frac{3}{a}x = 24\).

Step2: Multiply both sides by \(\frac{a}{3}\)

To solve for \( x \), we multiply both sides of the equation \(\frac{3}{a}x = 24\) by \(\frac{a}{3}\). Using the property of multiplication, \(\frac{3}{a} \times \frac{a}{3}x = 24 \times \frac{a}{3}\). The \(\frac{3}{a}\) and \(\frac{a}{3}\) cancel out on the left side, and on the right side, \( 24 \times \frac{a}{3} = 8a \). So we get \( x = 8a \).

Answer:

\( x = 8a \)