To solve the equation 3x + 5 = 35 – x + 8 + x – 5 + 2x + 10, we first need to simplify both sides of the equation.
1. **Simplify the right-hand side:**
- Combine like terms on the right side:
- Start with the constants: 35 + 8 – 5 + 10 = 48
- Then combine the x terms: -x + x + 2x = 2x
So, the equation can be rewritten as:
3x + 5 = 2x + 48
2. **Isolate x:**
- Subtract 2x from both sides:
- 3x – 2x + 5 = 48
- This simplifies to x + 5 = 48.
3. **Solve for x:**
- Now, subtract 5 from both sides:
- x = 48 – 5
- This results in x = 43.
In conclusion, the solution to the equation 3x + 5 = 35 – x + 8 + x – 5 + 2x + 10 is x = 43.