Consider the following equation.

Question

2/3x−5=27
Determine the best TWO steps to solve the equation.

Identify the solution.

(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Solution:
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Answer 1

Let's solve the equation step by step. The equation you provided is:

\[ \frac{2}{3}x - 5 = 27 \]

Step 1:

Add 5 to both sides of the equation to isolate the term with \(x\):

\[ \frac{2}{3}x - 5 + 5 = 27 + 5 \] Which simplifies to:

\[ \frac{2}{3}x = 32 \]

Step 2:

Multiply both sides by \(\frac{3}{2}\) to solve for \(x\):

\[ x = 32 \cdot \frac{3}{2} \] Calculating that gives:

\[ x = 48 \]

Solution:

The solution to the equation is \(x = 48\).

So, fill in the responses:

Step 1: Add 5 to both sides.
Step 2: Multiply both sides by \(\frac{3}{2}\).
Solution: \(x = 48\).