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Solve 2x + b = c for x.

2x + b - b= c - b subtract b from both sides

2x = c - b combine like terms/simplify

2x - 2= c - b - 2 subtract 2 from both sides to get x isolated

x = c - b - 2 simplify/final answer

Which statement is true?

Responses

The process has an error. The correct answer is: x = c + b - 2
The process has an error. The correct answer is: x = c + b - 2

The process is correct.
The process is correct.

The process has an error. The correct answer is: x = (c - b) / 2
The process has an error. The correct answer is: x = (c - b) / 2

The process has an error. The correct answer is: x = c/2 - b

1 answer

Let's go through the equation step by step to identify any errors and find the correct solution for \(x\) in the equation \(2x + b = c\).

  1. Start with the equation: \[ 2x + b = c \]

  2. Subtract \(b\) from both sides: \[ 2x = c - b \]

  3. Now divide both sides by 2 to isolate \(x\): \[ x = \frac{c - b}{2} \]

So the correct solution for \(x\) is: \[ x = \frac{c - b}{2} \]

Now, looking at the provided responses, the correct statement is: The process has an error. The correct answer is: \(x = (c - b) / 2\).