Question

2(w-1)+8=6(2w-4) pls help

Answer 1

-10w divided by -10
-30 divided by -10
W=3

Answer 2

w = 3

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

2(w - 1) + 8 = 6(2w - 4)

Step 2: Solve for w

1. Distribute: 2w - 2 + 8 = 12w - 24
2. Combine like terms: 2w + 6 = 12w - 24
3. Subtract 2w on both sides: 6 = 10w - 24
4. Add 24 on both sides: 30 = 10w
5. Divide 10 on both sides: 3 = w
6. Rewrite: w = 3

Step 3: Check

Plug in w into the original equation to verify it is a solution.

1. Substitute in w: 2(3 - 1) + 8 = 6(2(3) - 4)
2. Multiply: 2(3 - 1) + 8 = 6(6 - 4)
3. Subtract: 2(2) + 8 = 6(2)
4. Multiply: 4 + 8 = 12
5. Add: 12 = 12

Here we see that 12 does indeed equal 12.

∴ w = 3 is a solution of the equation.