Question

$\frac{2}{3}w - 5 = 19$

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( w \), we add 5 to both sides of the equation \(\frac{2}{3}w - 5 = 19\). This gives us \(\frac{2}{3}w - 5 + 5 = 19 + 5\), which simplifies to \(\frac{2}{3}w = 24\).

Step2: Multiply by reciprocal

To solve for \( w \), we multiply both sides of the equation \(\frac{2}{3}w = 24\) by the reciprocal of \(\frac{2}{3}\), which is \(\frac{3}{2}\). So we have \(w = 24\times\frac{3}{2}\).

Step3: Calculate the value

Calculating \(24\times\frac{3}{2}\), we divide 24 by 2 first to get 12, then multiply by 3, so \(12\times3 = 36\).

Answer:

\(w = 36\)