# How do you solve 2x-4+7x< -6x+41?

Feb 7, 2017

$2 x - 4 + 7 x < - 6 x + 41$

All $x$ on one side numbers on another.

$2 x + 7 x + 6 x < 4 + 41$

$15 x < 45$

$x < \frac{45}{15}$

$x < 3$

Aug 6, 2018

$x < 3$

#### Explanation:

We can combine the variables on the left to get

$9 x - 4 < - 6 x + 41$

Next, to get our variables on one side, we can add $6 x$ to both sides to get

$15 x - 4 < 41$

Next, add $4$ to both sides to get

$15 x < 45$

Lastly, we divide both sides by $15$ to get

$x < 3$

Hope this helps!