Question

How do you solve `3x-2(x-5)<3(x-1)-2x-11`?

Answer 1

You can't (or more correctly, there is no solution)

Explanation:

First, we expand everything we can:
`3x-2(x-5)<3(x-1)-2x-11`
`3x-2x+10<3x-3-2x-11`
Then simplify on both sides:
`x+10< x-14`
Then move all the `x`'s to one side, but in this case if we do that, we get:
`10<-14`,
which is impossible!, because 10 is larger than -14. Because of this, we can conclude that no matter what number `x` is, the equation will never be true.

As a side note, if we did get a final result which was true e.g `2>1`, then that would mean all values of `x` would be correct