5x + 3 = 6x – 1
5x + 6x = -1 – 3
11x = -4
x = -4/11
Solve the equation 5x + 3 = 6x – 1.
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5x + 3 = 6x – 1
5x + 6x = -1 – 3
11x = -4
x = -4/11
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!