SOLUTION: Can you please show me step by step how to get this answer for the problem -1/2-5/6 x = 3/4 what is x I know the answer is -3/2 I don't know how to get this answer Can you show m

Algebra ->  Finance -> SOLUTION: Can you please show me step by step how to get this answer for the problem -1/2-5/6 x = 3/4 what is x I know the answer is -3/2 I don't know how to get this answer Can you show m      Log On


   

Question 895720: Can you please show me step by step how to get this answer for the problem
-1/2-5/6 x = 3/4 what is x I know the answer is -3/2 I don't know how to get this answer
Can you show ms step by step and explain I find this problem very hard
Thank you very much
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-1%2F2-5%2F6+x+=+3%2F4

Simplest common denominator is 3%2A4%2Ax=12x. Multiply the left and right side of the equation by 12x and the denominators can be cleared.

12x%28-1%2F2-5%2F6+x%29+=+12x%283%2F4%29

-6x-5%2A2=9x

-10=15x

highlight%28x=-2%2F3%29

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutor thought the x on the second term was 
on the bottom.


-1%2F2-expr%285%2F6%29x%22%22=%22%223%2F4

It won't be hard if you clear of fractions first:

The LCD of the denominators 2,6, and 4 is 12.
So multiply every term by 12

12%28-1%2F2%29-12%28expr%285%2F6%29x%29%22%22=%22%2212%283%2F4%29

-6-10x%29%22%22=%22%229

-10x%29%22%22=%22%2215

x%29%22%22=%22%2215%2F%28-10%29

x%29%22%22=%22%22-3%2F2

Edwin