Question

3/2 |x - 5| = 0

Explanation:

Step1: Eliminate the coefficient

Multiply both sides of the equation \(\frac{3}{2}|x - 5| = 0\) by \(\frac{2}{3}\) to get \(|x - 5| = 0\times\frac{2}{3}\).
So, \(|x - 5| = 0\).

Step2: Solve the absolute - value equation

The absolute - value equation \(|a| = 0\) is equivalent to \(a = 0\). For the equation \(|x - 5| = 0\), we have \(x-5 = 0\).
Add 5 to both sides of the equation \(x - 5=0\), we get \(x=5\).

Answer:

\(x = 5\)