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

Apr 18, 2016

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

#### Explanation:

First, we expand everything we can:
$3 x - 2 \left(x - 5\right) < 3 \left(x - 1\right) - 2 x - 11$
$3 x - 2 x + 10 < 3 x - 3 - 2 x - 11$
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