Question

The equation 2(4x + 1) = 4(2x + 5) has no solutions. Which of the following best explains why?

Answer 1

See below

Explanation:

`2(4x + 1) = 4(2x + 5)`

`8x + 2 =8x + 20`

`\\exists x \in \mathbb{R} \text{ That makes the equality true}`

The equation has no solution because no matter what the value we plug for
`x` in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.