How do you solve 7(x-2)<-5?

Jul 5, 2018

$x < \frac{9}{7}$

Explanation:

Dividing both sides by $7$ we get

$x - 2 < - \frac{5}{7}$

adding $2$ on both sides we get

$x < - \frac{5}{7} + \frac{14}{7}$ (Notice $\frac{14}{7} = 2$)

and we have

$x < \frac{9}{7}$

Jul 5, 2018

$x < \frac{9}{7}$

Explanation:

Let's distribute the $7$ to both terms on the left to get

$7 x - 14 < - 5$

Next, let's add $14$ to both sides to get

$7 x < 9$

Dividing both sides by $7$, we get

$x < \frac{9}{7}$

Hope this helps!