How many soluations does the following equationsl have? 3 (x + 5) = - 4x + 8

1 solution: x = - 1

Step-by-step explanation:

First note that this is a 1st order equation; that is, the highest power of x is 1. Thus, this equation could have at most 1 solution, with the other possibility being 0.

Multiplying as indicated, we get:

3x + 15 = - 4x + 8.

Combining the x terms by adding 4x to both sides results in:

7x + 15 = 8, which reduces to 7x = - 7. Thus, x = - 1. This is the ONLY solution.