Correctly select the steps to solve the given equation.

Question

3x−7−2x+5=6

*Remember to include to optional first step.*

(1 point)
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:
Step 3:

Question 2
Solve for x.

3x−7−2x+5=6

(1 point)
Responses

x = 7
x = 7

x = -8
x = -8

x = 8
x = 8

x = 4
x = 4
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Answer 1

To solve the equation \(3x - 7 - 2x + 5 = 6\), we can follow these steps:

Step 1: Combine like terms on the left side of the equation.
In this case, combine \(3x\) and \(-2x\), and also \(-7\) and \(+5\).
This gives us:
\( (3x - 2x) + (-7 + 5) = 6 \)
which simplifies to:
\( x - 2 = 6 \)

Step 2: Add 2 to both sides of the equation to isolate the variable \(x\).
This gives us:
\( x - 2 + 2 = 6 + 2 \)
Simplifying this results in:
\( x = 8 \)

Step 3: Confirm the solution by substituting \(x = 8\) back into the original equation.
This checks that the left side equals the right side:
\( 3(8) - 7 - 2(8) + 5 \)
Calculating gives: \( 24 - 7 - 16 + 5 = 6 \)
which is true.

Final answers:

• Step 1: Combine like terms.
• Step 2: Isolate \(x\).
• Step 3: Verify the solution.

For Question 2, the answer is:

• \( \mathbf{x = 8} \)