Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Explanation:
Step 1: Define equation
2.5x + 10 = x - 0.5
Step 2: Solve for x
- Subtract x on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!