Question 92754
<pre><b><font size = 4 color = "indigo">
{{{(x+5)/6 -((14-x)/2 - 1/4)=2x-7}}}

Remove the parentheses on the left:

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

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

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

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

{{{12((x+5)/6) -12((14-x)/2) + 12*(1/4)=12(2x)-12(7)}}}

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(x+5)-6(14-x)+3=24x-84}}}

Now you can solve that and get {{{x=13/16}}}

Edwin</pre>