SOLUTION: {{{(x+5)/6 -((14-x)/2 - 1/4)=2x-7}}}

Algebra ->  Equations -> SOLUTION: {{{(x+5)/6 -((14-x)/2 - 1/4)=2x-7}}}      Log On


   



Question 92754: %28x%2B5%29%2F6+-%28%2814-x%29%2F2+-+1%2F4%29=2x-7
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B5%29%2F6+-%28%2814-x%29%2F2+-+1%2F4%29=2x-7

Remove the parentheses on the left:

%28x%2B5%29%2F6+-%2814-x%29%2F2+%2B+1%2F4=2x-7

Put parentheses around every term, so you can
multiply through:

%28%28x%2B5%29%2F6%29+-%28%2814-x%29%2F2%29+%2B+%281%2F4%29=%282x%29-%287%29

The LCD of the denominators is 12, so multiply
every term by 12:

12%28%28x%2B5%29%2F6%29+-12%28%2814-x%29%2F2%29+%2B+12%2A%281%2F4%29=12%282x%29-12%287%29

The 6 cancels into the 12 in the first term,
The 2 cancels into the 12 in the second term
The third term becomes just 3
On the right the first term becomes 24x
On the right the last term becomes -84

2%28x%2B5%29-6%2814-x%29%2B3=24x-84

Now you can solve that and get x=13%2F16

Edwin