Question

Solve for x:

4(x + 4) = 6(x - 2)
O A. x = 9
B. x = 14
O C. x = 8
D. x = 1

Answer 1

x = 14

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

• Equality Properties

Explanation:

Step 1: Define equation

4(x + 4) = 6(x - 2)

Step 2: Solve for x

1. Distribute: 4x + 16 = 6x - 12
2. Subtract 4x on both sides: 16 = 2x - 12
3. Add 12 on both sides: 28 = 2x
4. Divide 2 on both sides: 14 = x
5. Rewrite: x = 14

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 4(14 + 4) = 6(14 - 2)
2. Add/Subtract: 4(18) = 6(12)
3. Multiply: 72 = 72

And we have our final answer!

Answer 2

Answer: 14 = x

Step-by-step explanation: Start by distributing through the parenthses

on each side of the equation to get 4x + 16 = 6x - 12.

Now move your x's to the right and numbers

to the left and you get 28 = 2x.

Divide both sides by 2 and 14 = x.