Select all the steps that are possible when solving x

Question

512x+23x=37

1. x = 37
2. x = 6
3. 37x = 6
4. 376x=37
5. 112x+23x=37

Answer 1

To begin solving the equation $512x+23x=37$, we can simplify it as follows:

1. Combine like terms on the left side: $$(512+23)x=37$$ This simplifies to: $$535x=37$$

2. To find $x$, divide both sides by 535: $$x=\frac{37}{535}$$

Now, we can analyze the steps given:

1. $x=37$: Incorrect, as we found $x=\frac{37}{535}$.
2. $x=6$: Incorrect, as we found $x=\frac{37}{535}$.
3. $37x=6$: This step is not directly correct based on the original equation.
4. $376x=37$: This is incorrect; we had $535x=37$.
5. $112x+23x=37$: This is not correct based on the original equation.

Based on this analysis, the only correct simplification leading from the original equation is: $$535x=37$$

None of the proposed steps accurately reflect valid operations or solutions derived from the initial equation.