Question

How many solutions does the following equation have?

3( x + 5 ) = -4x + 83( x + 5 ) = −4x + 8

- No solutions
- Exactly one solution
- Infinitely many solutions

Answer 1

The equation given is 3(x + 5) = -4x + 8.

First, we can simplify the equation:

3x + 15 = -4x + 8

Now, by bringing like terms to one side, we have:

3x + 4x = 8 - 15

7x = -7

Dividing both sides of the equation by 7, we get:

x = -1

Therefore, the equation has exactly one solution: x = -1.