Question

12w+10=2(3w+35)
How do I solve this?

Answer 1

Explanation:

Solve this equation by isolating for w.

Answer 2

w = 10

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

12w + 10 = 2(3w + 35)

Step 2: Solve for w

1. Distribute 2: 12w + 10 = 6w + 70
2. Subtract 6w on both sides: 6w + 10 = 70
3. Subtract 10 on both sides: 6w = 60
4. Divide 6 on both sides: w = 10

Step 3: Check

Plug in w to verify it's a solution.

1. Substitute: 12(10) + 10 = 2(3(10) + 35)
2. Multiply: 120 + 10 = 2(30 + 35)
3. Add: 130 = 2(65)
4. Multiply: 130 = 130

Here we see that 130 does indeed equal 130.

∴ w = 10 is a solution of the equation.