15. Solve the equation for x: 2x+b=c
Check this process:
Step 1: 2x+b−b=c−b
Step 2: 2x=c−b
Step 3: 2x−2=c−b−2
Step 4: x=c2−b−2
Check all of the choices that are true statements.
(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 t
Yes, that is the only error in the process.
The process has an error from step 3 to step 4.
is that the only one
The process has an error from step 3 to step 4.
The process has an error from step 3 to step 4.
Explanation:
In step 3, when subtracting 2 from both sides of the equation, it should be subtracted from the coefficient of x as well. The correct step should be:
Step 3: 2x - 2 = c - b - 2
Then, in step 4, to isolate x, you need to divide both sides of the equation by 2:
Step 4: (2x - 2) / 2 = (c - b - 2) / 2
Simplifying further:
x - 1 = (c - b - 2) / 2
Thus, the correct solution for x is x = (c - b - 2) / 2.