Final answer:
To solve the equation 6x + 1 = 1 - 5x, we combine like terms and isolate x to find that the solution is x = 0.
Step-by-step explanation:
The equation you've provided, 6x + 1 = 1 - 5x, is a linear equation where we are looking for the value of x that makes the equation true. To solve it, we need to isolate the variable x on one side of the equation. Here's a step-by-step breakdown:
- Add 5x to both sides of the equation: 6x + 5x + 1 = 1 - 5x + 5x, which simplifies to 11x + 1 = 1.
- Subtract 1 from both sides of the equation: 11x + 1 - 1 = 1 - 1, which simplifies to 11x = 0.
- Divide both sides by 11: 11x / 11 = 0 / 11, which simplifies to x = 0.
After following these steps, we find that the solution to the equation is x = 0.