To identify which step is not part of solving the equation \(8 - 2x = 5(x - 2)\), let's solve it step-by-step.
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Start with the original equation: \[ 8 - 2x = 5(x - 2) \]
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Distribute the 5 on the right-hand side: \[ 8 - 2x = 5x - 10 \]
This matches option D.
- Now we can rearrange the equation to group all terms involving \(x\): \[ 8 + 10 = 5x + 2x \] Simplifying gives: \[ 18 = 7x \]
This matches option A.
- We can also write: \[ 8 = 5x - 10 + 2x \] which rearranges to: \[ 8 = 7x - 10 \]
This matches option B.
Now, let's check option C: From the original equation \(8 - 2x = 5(x - 2)\), if we adjust it by moving terms around or performing transformations, we can write: \[ 8 - 2x = 5x - 10 \] This actually matches because we could have a leading expression similar to it at a given step but it lacks direct application from distributing \(5(x - 2)\).
But they are valid transformations, C is just another view. Therefore, the correct answer would be none since when looking back at the problem only D indeed does not follow but it’s a reformulation of another step that’s valid.
So based upon the given options without more context, we will state:
- None of them directly provides incorrect reasoning, but based on direct transformations, D gets picked out as reformulated.
Thus, D is the step that doesn't make sense compared to the others.
1 answer