SOLUTION: Please explain how to solve this equation? x+4 - 4 = x-11 ___ ____ 3 4

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Please explain how to solve this equation? x+4 - 4 = x-11 ___ ____ 3 4      Log On


   

Question 75665: Please explain how to solve this equation?
x+4 - 4 = x-11
___ ____
3 4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2B4%29%2F3-4=%28x-11%29%2F4
12%28%28x%2B4%29%2F3-4%29=%28%28x-11%29%2F4%2912 Multiply both sides by the LCD (12) to clear the denominators
4%28x%2B4%29-48=3%28x-11%29
4x%2B16-48=3x-33 Distribute
4x-32=3x-33 Add like terms
4x=3x-1 Add 32 to both sides
x=-1 Subtract 3x from both sides


Check:
%28x%2B4%29%2F3-4=%28x-11%29%2F4
%28%28-1%29%2B4%29%2F3-4=%28%28-1%29-11%29%2F4 plug in x=-1
3%2F3-4=%28-12%29%2F4
1-4=-3
-3=-3 works