solve for x

Question

solve for x

anonymous · Answer

$$5x \sqrt{90}-8= x \sqrt{40}+ 1$$

ryan123345 · Answer

Lol @Luis_Rivera <3.      @theluckyistduck first add 8 on both sides. What do you get?

anonymous · Answer

$$5x \sqrt{90}= x \sqrt{40}+9$$

marco26 · Answer

Combine similar terms. That is, transpose $$x \sqrt{40}$$ to the left then factor x. You will now be able to see how to solve for x.

anonymous · Answer

wait what similar terms am I combining?

marco26 · Answer

the terms which has the variable x. That's what I mean.

marco26 · Answer

$$5x \sqrt{90}-x \sqrt{40}=9$$

anonymous · Answer

so to combine them I have to simplify both sides and then pull them all over to one side and  I got $$13x \sqrt{10}-9$$

marco26 · Answer

Yes. You can now solve for x from here $$13x \sqrt{10}=9$$

anonymous · Answer

so do I divide by the 13 if not what do I do?

marco26 · Answer

Divide both sides by $$13\sqrt{10}$$  to get x

anonymous · Answer

oh ok and do I leave it like this$$x=9\div13\sqrt{10}$$

marco26 · Answer

You can either leave it on the fraction form with rationalized denominator or in decimal form depends on the required  type of answer.

anonymous · Answer

ok I then I can leave it like that. Thanks a lot for your help!