# How do you solve 38+5x >7 (x+4)?

Jun 6, 2016

$x < 5$

#### Explanation:

$38 + 5 x > 7 x + 28$

$5 x - 7 x > - 38 + 28$

$- 2 x > - 10$

$2 x < 10$

$x < 5$

Aug 10, 2018

$x < 5$

#### Explanation:

First, let's switch the sides:

$7 \left(x + 4\right) < 5 x + 38$

Next, we can distribute the $7$ on the left to get

$7 x + 28 < 5 x + 38$

Next, subtract $5 x$ from both sides to get

$2 x + 28 < 38$

We can subtract $28$ from both sides to get

$2 x < 10$

Lastly, we divide both sides by $2$ to get

$x < 5$

Hope this helps!