# How do you solve 9(3x – 14) > 5(x – 6)?

Jul 9, 2018

This is similar to solving equations in algebra. $x > \frac{48}{11}$

#### Explanation:

Expand first:
$9 \left(3 x - 14\right) > 5 \left(x - 6\right)$

$27 x - 126 > 5 x - 30$

$- 5 x$ On both sides.

$22 x - 126 > - 30$

$+ 126$ On both sides.

$22 x > 96$

$/ 22$ Divide by 22.
And...
$x > \frac{92}{22}$ which simplifies to $\frac{48}{11}$

Jul 9, 2018

$x > \frac{48}{11}$

#### Explanation:

Let's distribute the $9$ on the left side, and the $5$ on the right. We now have

$27 x - 126 > 5 x - 30$

We can add $126$ to both sides to get

$27 x > 5 x + 96$

Next, to get our $x$ terms on one side, we can subtract $5 x$ from both sides:

$22 x > 96$

Lastly, we can divide both sides by $22$ to get

$x > \frac{48}{11}$

Hope this helps!