Question

Which equation is equivalent to 8x + 3(x + 5) - 5(x - 4) = 2? A. 6x + 35 = 2 B. 6x + 1 = 2 C. 6x – 5 = 2 D. 43x = 2

Answer 1

A

Explanation:

8x + 3(x + 5) - 5(x - 4) = 2

Distribute the 3

8x + 3*x +3*5 -5(x-4)=2

8x+3x+15 -5(x-4)=2

Distribute the -5

8x+3x+15 -5*x +-5*-4=2

8x+3x+15-5x+20=2

Combine like terms

8x+3x-5x+20+15=2

6x+35=2

So, A is the correct choice

Answer 2

`8x + 3(x + 5) - 5(x - 4) = 2 \\ 8x + 3x + 15 - 5x + 20 = 2 \\ 6x + 35 = 2`

Answer: A.

`6x + 35 = 2`