To find the solutions to the equation 4x – 8 = 2 + 5x, let’s first rearrange it step by step.
1. Start by simplifying the equation:
4x – 8 = 2 + 5x
2. To isolate the variable, we can subtract 5x from both sides:
4x – 5x – 8 = 2
3. This simplifies to:
-x – 8 = 2
4. Next, add 8 to both sides to solve for x:
-x = 2 + 8
-x = 10
5. By multiplying both sides by -1, we find:
x = -10
Conclusion: The equation 4x – 8 = 2 + 5x has exactly one solution, which is x = -10.