To solve the equation 3x + 2x + 9 – 8x = x + 14, we first simplify the left-hand side.
1. Combine like terms on the left side:
- 3x + 2x – 8x = -3x
So, rewriting the equation gives us:
-3x + 9 = x + 14
2. Next, we want to isolate x. Start by moving x to the left side by subtracting x from both sides:
-3x – x + 9 = 14
3. This simplifies to:
-4x + 9 = 14
4. Now, to isolate the term with x, subtract 9 from both sides:
-4x = 14 – 9
This simplifies to:
-4x = 5
5. Finally, divide both sides by -4 to solve for x:
x = 5 / -4
This results in:
x = -1.25
So, the solution to the equation is x = -1.25.