An equation is shown below:

8x + 2(x - 7) = 7x + 3x - 14

Part A: Solve the equation and write the number of solutions. Show all the steps.

Part B: Name one property you used to solve this equation.

Question

An equation is shown below:

8x + 2(x - 7) = 7x + 3x - 14

Part A: Solve the equation and write the number of solutions. Show all the steps. 

Part B: Name one property you used to solve this equation.

anonymous · Answer

Okay, so.... Let's distribute that 2 first... 
8x + 2(x - 7) = 7x + 3x - 14 
8x + 2x -14 = 7x + 3x -14 
10x - 14 = 10x - 14

From here, we see that when we plug in any value of x, it satisfies the equation. Thus all values of x satisfy the given equation. 

We used the distributive property for this equation.