Question

Check, whether the following equation has exactly onesolution or infinitely many solution or no solution.

Answer 1

To answer this question, we can proceed as follows:

1. Expand the left part of the equation:

`4x-5=2\cdot2x-2\cdot1-3`
`4x-5=4x-2-3\Rightarrow4x-5=4x-5`

Since the operation result in identity, we can say that the equation has infinitely many solutions. In other words, the equation is true for all values of x.

For example, if x = -1000, we will get the same value for both sides of the equation. The same would happen if x = -1, x = 2, and so on.

In summary, we can say that the equation has infinitely many solutions.