To solve the equation x + 8 + 3x = x + 6, let’s first simplify it step by step.
1. **Combine like terms:** On the left side of the equation, we can combine the terms involving x.
- x + 3x simplifies to 4x.
This gives us:
4x + 8 = x + 6
2. **Isolate the variable:** Next, we want to move all terms involving x to one side of the equation and constant terms to the other side.
- Subtract x from both sides:
4x + 8 – x = x – x + 6
Which simplifies to:
3x + 8 = 6
3. **Continue isolating x:** Now, let’s get rid of the constant term on the left side. We do this by subtracting 8 from both sides:
- 3x + 8 – 8 = 6 – 8
This simplifies to:
3x = -2
4. **Solve for x:** Lastly, divide both sides by 3 to find the value of x:
- x = -2/3
So, the solution to the equation x + 8 + 3x = x + 6 is:
x = -2/3