SOLUTION: I put in the following problem 7/3-x/3=x/4 in the computer and it gave me the right answer ( 4 ) but I wasn't sure of how it arrived at that answer. I followed the steps it showed

Algebra ->  Linear-equations -> SOLUTION: I put in the following problem 7/3-x/3=x/4 in the computer and it gave me the right answer ( 4 ) but I wasn't sure of how it arrived at that answer. I followed the steps it showed       Log On


   

Question 526095: I put in the following problem 7/3-x/3=x/4 in the computer and it gave me the right answer ( 4 ) but I wasn't sure of how it arrived at that answer. I followed the steps it showed until it Came to this -7*x/12+7/3=0 it said the answers is 4 from that. How it got that I don't know. Can you show me an easier way to solve this Problem. Thank you
Given problem: 7/3-x/3=x/4
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F3-x%2F3=x%2F4
7%2F3-x%2F3-x%2F4=0
Take LCM or LCD
%284%2A7-4%2Ax-3%2Ax%29%2F12=0
%2828-4x-3x%29%2F12=0
%2828-7x%29%2F12=0
Multiply by 12 both sides
%2812%2A%2828-7x%29%2F12%29=%280%2A12%29
%28%28cross%2812%29%29%2A%2828-7x%29%2F%28cross%2812%29%29%29=%280%2A12%29
28-7x=0
-7x=-28
Divide by -7 both sides
-7x%2F-7=-28%2F-7
%28cross%28-7x%29%29%2F%28cross%28-7%29%29=%28cross%28-28%29%29%2F%28cross%28-7%29%29
x=4