SOLUTION: I am stuck on a problem. My algebra teacher told us that we have to check it and show all our work and steps, and I can't get it right. 2(x-5+3x)=14 I've tried... 2(x-5+3x)=14

Question 509431: I am stuck on a problem. My algebra teacher told us that we have to check it and show all our work and steps, and I can't get it right.
2(x-5+3x)=14
I've tried...
2(x-5+3x)=14
2x-10+6x=14
2x-2x-10+6x-2x=14
-10+4x=14
-10+10+4x=14+10
4x=24
4x/4=24/4
x=6
Then, when I check it I must be doing it wrong or don't have the right answer.
2(6-5+3*6)=14
12-10+6*12=14
12-10+72=14
2+72=14
74=14
It's supposed to be 14 on both sides, but I do not understand it. All of my other problems I got right, but I just for some reason do not understand this question. Please help me as soon as possible, thanks.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2(x-5+3x)=14
I've tried...
2(x-5+3x)=14
2x-10+6x=14
2x-2x-10+6x-2x=14
----------
You subtracted 2x from the left side, but not the right side.
----------
2(x-5+3x)=14
Divide by 2
(x-5+3x) = 7
4x-5 = 7
Add 5
4x = 12
x = 3

RELATED QUESTIONS
My professor gave us this problem and he told us to answer it in ax+by=c form. We have... (answered by Cintchr)

we are learning algebra in my 6th grade advanced class but i am not catching on to it... (answered by checkley75)

Happy Tuesday everyone! I am looking for some expertise when it comes to solving "story"... (answered by ewatrrr,solver91311)

We have this homework question on a worksheet. Our algebra teacher said we need to be... (answered by bmauger)

I have been trying to solve this. I am getting fustrated with this problem because I just (answered by Fombitz)

Our math teacher gave us this problem and he said we should get to know it well. The... (answered by bmauger)

Solve using the multiplication principle first. Then add. Then show your check for both (answered by solver91311,ewatrrr)

I do not understand the problem at all. My teacher gave us the answers to check our work. (answered by stanbon)

Hello , my name is Victoria and i need help with my Pre-Algebra homework , & it would be... (answered by rwm)