SOLUTION: Fill in the blank: Solving (1/4)x-(2/3)=(5/12)x (show the result calculations of each step by following instructions) 1. find the LCD 2. multiply both sides of the equation b

Algebra ->  Trigonometry-basics -> SOLUTION: Fill in the blank: Solving (1/4)x-(2/3)=(5/12)x (show the result calculations of each step by following instructions) 1. find the LCD 2. multiply both sides of the equation b      Log On


   

Question 466262: Fill in the blank:
Solving (1/4)x-(2/3)=(5/12)x
(show the result calculations of each step by following instructions)
1. find the LCD
2. multiply both sides of the equation by the LCD
3. use the distributive property
4. simplify when appropriate
5. separate the variable from the constants
6. make the coefficient of the variable equal to 1
My Professor likes to keep me confused I think. LOL. Thank you so much for the help!!
Found 2 solutions by mananth, lwsshak3:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F4%29x-%282%2F3%29=%285%2F12%29x
LCD of the denominators 4,3,12 is 12
multiply the equation by 12

%281%2A12%2F4%29x-%282%2A12%2F3%29=%285%2A12%2F12%29x
we get
3x-8= 5x
add 8 on both sides
3x+8-8=5x+8
3x=5x+8
add-5x to both sides
3x-5x=5x-5x+8
-2x=8
/-2
x=-4


Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solving (1/4)x-(2/3)=(5/12)x
(show the result calculations of each step by following instructions)
1. find the LCD
2. multiply both sides of the equation by the LCD
3. use the distributive property
4. simplify when appropriate
5. separate the variable from the constants
6. make the coefficient of the variable equal to 1
...
1. LCD of 3, 4, & 12=12
2. 12(1/4)x-(2/3)=12(5/12)x
3. 3x-8=5x
4. 3x-5x=8
5. -2x=8
6. x=-4