SOLUTION: Will someone please help me solve this equation? The problem states to perform the indicated operation and simplify: 3/4x=2/3/5/6x-3/4

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Will someone please help me solve this equation? The problem states to perform the indicated operation and simplify: 3/4x=2/3/5/6x-3/4      Log On


   

Question 111101: Will someone please help me solve this equation? The problem states to perform the indicated operation and simplify: 3/4x=2/3/5/6x-3/4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F4%29x+=%282%2F3%29%2F%285%2F6x%29-+3%2F4
%283%2F4%29x+=+2%2A6x%2F3%2A5 – 3%2F4
%283%2F4%29x+=+12x%2F15 – 3%2F4……….LCD for 4 and 15 is 4%2A15+=+60,
multiply both sides by 60
%283%2F4%29%2A60x+=+12x%2A60%2F15+– %283%2F4%29%2A60……….

3%2A15x+=+12x%2A4 – %283%2A15%29……….divide both sides by 3
15x+=+16x+%96+15……….move 15x to the right and -+15 to the left

15+=+16x+%96+15x……….
15+=+x……….
Your answer is:
x+=+15