Given: 5(x-2)=2x+5 Prove: x=5

Question

Algebra proof for midterm review in Geometry.

Answer 1

Statements                             Reasons           

1. 5(x-2) = 2x + 5                  1. Given

2. 5x - 10 = 2x + 5                 2. Distributive Property

3. 5x = 2x + 15                      3. Addition Property

4. 3x = 15                              4. Subtraction Property

5. x = 5                                  5. Division Property

 

I think I am probably older than Mark. Years ago, this is the way we did an algebraic proof. :)

 

Answer 2

5(x - 2)=2x + 5

5x - 10 = 2x + 5       distribute

3x - 10 = 5               subtgract 2x from both sides

3x = 15                    add 10 to both sides

x = 5                       divide both sides by 3

 

QED