Solve the equation 5x + 3 = 6x – 1.

To solve the equation (5x + 3 = 6x – 1), let’s follow these steps:

1. Isolate the variable on one side: Start by subtracting (5x) from both sides:

[

3 = 6x – 5x – 1

]

This simplifies to:

[

3 = x – 1

]

2. Add 1 to both sides: To get (x) by itself, add 1:

[

3 + 1 = x

]

This results in:

[

x = 4

]

However, you have provided a different manipulation. Let’s check that as well:

In your steps:

– (5x + 6x) leads to (11x), but adjusting (6x – 1) correctly gives (x + 1) after moving the constants around.

– The correct sequence after rewriting from the first equation leads to:

– The correct representation is (x = 4), not (-4/11).

So the final answer is:

[

x = 4

]

Keep practicing! If you’d like more help with similar problems, feel free to ask!