Question

14. Solve the equation for x: 2x+3=11


Check this process:

Step 1: 2x+3−3=11−3


Step 2: 2x=8


Step 3: 2x−2=8−2


Step 4: x=6




Which statement is true?

(1 point)
Responses

There is no error in the process.
There is no error in the process.

The process has an error from step 1 to step 2
The process has an error from step 1 to step 2

The process has an error from step 2 to step 3
The process has an error from step 2 to step 3

The process has an error from step 3 to step 4

Answer 1

Let's go through the steps provided to see if there are any errors:

1. **Step 1:** \(2x + 3 - 3 = 11 - 3\)
Simplifying both sides gives:
\(2x = 8\)
(This step is correct.)

2. **Step 2:** \(2x = 8\)
(This is also correct, as we derived it from Step 1.)

3. **Step 3:** \(2x - 2 = 8 - 2\)
This step seems to be trying to isolate \(x\), but it introduces an error. The correct operation should be dividing both sides by 2, not subtracting 2. Thus, this step is incorrect. The correct operation should have been to divide by 2:
\(x = \frac{8}{2} = 4\).

4. **Step 4:** \(x = 6\)
This is not correct because the previous step contained an error, and therefore the value of \(x\) is incorrect. The value should be \(x = 4\).

In summary, the process has an error from step 2 to step 3. The correct choice is:

**The process has an error from step 2 to step 3.**