It seems like you're presenting a problem involving the expression \(-2x\), but there is a lack of context regarding what you're trying to do. I'll assume you meant to solve an equation involving \(-2x\), and I'll create a simple example for demonstration. If my assumption about the problem is incorrect, please provide more details about the actual problem you want to solve.
Example Problem
Solve for \(x\): \[ -2x = 6 \]
Correct Work and Answer
To solve the equation \(-2x = 6\), follow these steps:
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Divide both sides by -2: \[ x = \frac{6}{-2} \]
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Simplify the right-hand side: \[ x = -3 \]
Thus, the solution to the equation \(-2x = 6\) is: \[ \boxed{-3} \]
Explain Mistake Made
Since I do not have the specifics of the incorrect solution, I can outline some common mistakes that could occur in solving similar equations:
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Incorrect Sign Handling: Sometimes, when dividing both sides by a negative number, students may forget to change the sign. In this case, an incorrect simplification could lead to a positive value for \(x\).
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Misapplication of Operations: Another common error is failing to properly isolate the variable on one side. For example, if someone added 2x to both sides instead of dividing, it would lead to an incorrect conclusion.
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Math Errors: Simple arithmetic mistakes, like miscalculating the division, can lead to wrong answers as well.
If this example was not what you were looking for, please provide more details about the specific problem, and I would be happy to assist you further!
5 answers