Question

How many solutions does the following equation have?

3x + 7 + 2x = 5x + 7
One. Many. None

Answer 1

Answer: many (all real numbers)

Explanation:

1) add 2x and 3x to give you 5x

You now have 5x+7=5x+7

2) you can simplify this by subtracting 7 on both sides and dividing by 5

3) you are then left with x=x

Answer 2

Infinite/many

Explanation:

3x + 7 + 2x = 5x + 7

3x + 2x + 7 = 5x + 7

5x + 7 = 5x + 7

5x - 5x + 7 = 7

7 = 7

Infinite solutions