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

2 Answers
Jul 9, 2018

This is similar to solving equations in algebra. x > 48/11

Explanation:

Expand first:
9(3x-14)>5(x-6)

27x-126>5x-30

-5x On both sides.

22x-126> -30

+126 On both sides.

22x>96

/22 Divide by 22.
And...
x>92/22 which simplifies to 48/11

Jul 9, 2018

x>48/11

Explanation:

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

27x-126>5x-30

We can add 126 to both sides to get

27x>5x+96

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

22x>96

Lastly, we can divide both sides by 22 to get

x>48/11

Hope this helps!