Final answer:
The incorrectly written equation 6 - 2x = 3 = 5x appears to have typos, but if corrected to 6 - 2x = 5x, it can be solved for x, resulting in x = 6/7. We look for other equations that have the same solution set, which requires them to simplify to x = 6/7.
Step-by-step explanation:
The student is asked to solve for x in the equation 6 - 2x = 3 = 5x. This equation does not seem correct as it has '=' twice; it appears to be a typographical mistake or a mistake in constructing the equation. However, assuming that the correct equation is 6 - 2x = 5x, we can solve for x as follows:
- Combine like terms by moving all the x terms to one side: 6 = 5x + 2x.
- Simplify the equation: 6 = 7x.
- Divide both sides by 7 to solve for x: x = 6/7.
To find equations with the same solution set, we look for equations that when simplified will give us x = 6/7. For example:
- 10 - 2x = 7 + 5x and
- 6 - 5x = 3 + 2x
These equations, when solved, will yield the same solution set as x = 6/7 if rewritten without typos or mistakes.