Question

What is the solution 8x-3(2x-4)=3(x-6)

Answer 1

16x^2 - 32x -3x +12 = 3x-18
X= 30

Answer 2

x = 30

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

1. Distribute: 8x - 6x + 12 = 3x - 18
2. Combine like terms: 2x + 12 = 3x - 18
3. Subtract 2x on both sides: 12 = x - 18
4. Add 18 to both sides: 30 = x
5. Rewrite: x = 30

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 8(30) - 3(2(30) - 4) = 3(30 - 6)
2. Multiply: 240 - 3(60 - 4) = 3(30 - 6)
3. Subtract: 240 - 3(56) = 3(24)
4. Multiply: 240 - 168 = 72
5. Subtract: 72 = 72