Question

Drag and drop the justifying Reasons provided below to complete the 2-column algebraic proof: Given: 2x - 4 = 2 Prove: x = 3

Answer 1

To prove x = 3 given 2x - 4 = 2, add 4 to both sides, simplify the equation, divide by 2, and simplify again to get x = 3.

Step-by-step explanation:

To prove: x = 3

Given: 2x - 4 = 2

Steps:

1. Add 4 to both sides of the equation: 2x - 4 + 4 = 2 + 4
2. Simplify the equation by combining like terms: 2x = 6
3. Divide both sides of the equation by 2 to solve for x: 2x/2 = 6/2
4. Simplify the equation to get the final answer: x = 3