4/5(3x+4) less than equal to 20. Please help! I don't know how to get rid of the fraction before PEMDAS applies.

Question

anonymous · Answer

I suggest you use distributive property.

anonymous · Answer

Distribute the 5 into the 3x and 4.

anonymous · Answer

Is the inequality this:
$$\frac{4}{5}(3x+4) \le 20$$or$$\frac{4}{5(3x+4) }\le 20$$

anonymous · Answer

4/5(3x+4)≤20

anonymous · Answer

repeating the same thing  doesn't clarify anything.

anonymous · Answer

Sorry this is my first time using this. If I distribute the 5 into 3x and 4 and 20 I get $$4(15x+20)\le100$$

anonymous · Answer

Then...distribute 4 ... $$60x+80\le20   $$

anonymous · Answer

The answer in the text book says it is -7 and I have no idea how that answer can apply.

anonymous · Answer

Ok if the answer is $x \le 7$ then it must be:
$$\frac{4}{5}(3x + 4) \le 20$$

anonymous · Answer

You multiply both sides by 5. And you have:
$$4(3x+4) \le 100$$

anonymous · Answer

Then continue from there.