To solve the equation \( \frac{2}{3}x - 5 = 27 \), we can follow these two steps:
Step 1: Add 5 to both sides
This will help isolate the term with \( x \).
\[ \frac{2}{3}x - 5 + 5 = 27 + 5 \] \[ \frac{2}{3}x = 32 \]
Step 2: Multiply both sides by \( \frac{3}{2} \)
This will help solve for \( x \).
\[ x = 32 \cdot \frac{3}{2} \] \[ x = 32 \cdot 1.5 \] \[ x = 48 \]
Solution
The solution to the equation \( \frac{2}{3}x - 5 = 27 \) is \( x = 48 \).