Question

How many solutions are there to the equation below? 5x+48+7x=12(x+4)

A. Infinitely many
B. 1
C. 0

Answer 1

Hi there! The answer is A.


`5x + 48 + 7x = 12(x + 4)`
Work out parenthesis.


`5x + 48 + 7x = 12x + 48`
Collect terms


`12x + 48 = 12x + 48`
Now we can see that both sides of the equation are exactly the same. Therefore, it doesn't matter whatever value of x you plug into the equation. Each value of x you plug into the equation makes the equation correct, because both sides are the same (both sides have the same outcome value).

The answer is A.