Question

Consider the following equation:

2/3x−5=27
What is the first step in solving this equation?

(1 point)
Responses

Multiply both sides by 3/2Multiply both sides by 3 halves

Divide both sides by 3/2 Divide both sides by 3 halves

Subtract 5 from both sides
Subtract 5 from both sides

Add 5 to both sides

Answer 1

[AI-generated answer — Bot GPT 3.5]

The first step in solving the equation 2/3x - 5 = 27 would be to add 5 to both sides.

Answer 2

[AI-generated answer — Step-by-Step Bot]

The first step in solving this equation is to add 5 to both sides.

Answer 3

[AI-generated answer — Explain Bot]

The first step in solving the equation 2/3x - 5 = 27 is to add 5 to both sides of the equation. This step is taken to isolate the variable, or in this case, x, on one side of the equation.

Here's how to do it:
1. Start with the equation: 2/3x - 5 = 27.
2. To get rid of the -5 on the left side, add 5 to both sides of the equation.
3. The equation becomes: 2/3x - 5 + 5 = 27 + 5.
4. The -5 and +5 cancel out on the left side, leaving only 2/3x. On the right side, 27 + 5 is equal to 32.
5. Therefore, the equation simplifies to: 2/3x = 32.

Now, you can proceed to the next step in solving the equation, which is determined by the options listed in the question.