Question

2/3x−5=27


Determine the best TWO steps to solve the equation.

Answer 1

To solve the equation \( \frac{2}{3}x - 5 = 27 \), the best two steps would be:

1. **Add 5 to both sides:**
\[
\frac{2}{3}x - 5 + 5 = 27 + 5
\]
which simplifies to:
\[
\frac{2}{3}x = 32
\]

2. **Multiply both sides by \( \frac{3}{2} \) to isolate \( x \):**
\[
x = 32 \times \frac{3}{2}
\]
which simplifies to:
\[
x = 48
\]

So, the two steps to solve the equation are to add 5 to both sides, and then multiply both sides by \( \frac{3}{2} \).