# How do you solve 2x-5<x+1?

May 13, 2015

The answer is $x < 6$.

First, you subtract $x$ from both sides:
$2 x - 5 - x < x + 1 - x$.
This is equal to $x - 5 < 1$.
Then, you add $5$, so on the left side there's only $x$, and on the right side there's only numbers.
$x - 5 + 5 < 1 + 5$
This is equal to $x < 6$, so that's the answer.