Answer:
w = 10
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
Step 1: Define equation
12w + 10 = 2(3w + 35)
Step 2: Solve for w
- Distribute 2: 12w + 10 = 6w + 70
- Subtract 6w on both sides: 6w + 10 = 70
- Subtract 10 on both sides: 6w = 60
- Divide 6 on both sides: w = 10
Step 3: Check
Plug in w to verify it's a solution.
- Substitute: 12(10) + 10 = 2(3(10) + 35)
- Multiply: 120 + 10 = 2(30 + 35)
- Add: 130 = 2(65)
- Multiply: 130 = 130
Here we see that 130 does indeed equal 130.
∴ w = 10 is a solution of the equation.
