Question

Determine whether the given equation has one solution, no solution, or infinitely many solutions.

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

one solution
no solution
infinitely many solutions
cannot be determined

Please show me how you get your answer, I really need to know how to do this

Answer 1

No Solution.

Explanation:

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

2 - 3x - 12 = 9 - 3x

Move the terms in x to one side and the numbers to the other

-3x + 3x = 9 - 2 + 12

0 = 19.

This is absurd so there is No Solution.