To solve the equation 3x + 5 = 35 – x + 8 + x – 5 + x + 2x + 10, we first need to simplify the right side.
1. Start by combining like terms:
- The terms involving x: -x + x + x + 2x = 3x
- The constant terms: 35 + 8 – 5 + 10 = 48
So, the equation simplifies to:
3x + 5 = 3x + 48
2. Next, we can subtract 3x from both sides of the equation:
3x + 5 – 3x = 3x + 48 – 3x
This simplifies to:
5 = 48
This statement is not true, which indicates that there is no solution to the equation. In conclusion, this means the equation is inconsistent.