Question 519259
<pre>
Does this:

              -2/3x-1/2=1

mean this?:

1.     {{{-2/3}}}x - {{{1/2}}} = 1    

or does it mean this?: 

2.     {{{-2/(3x)}}} - {{{1/2}}} = 1

If it's the first way, like this:

                   {{{-2/3}}}x - {{{1/2}}} = 1

then clear of fractions first by multiplying through
by the LCD of 6

               6·{{{-2/3}}}x - 6·{{{1/2}}} = 6·1
 
                    -4x - 3 = 6

                        -4x = 9

                       {{{(-4x)/(-4)}}} = {{{9/(-4)}}}

                          x = {{{-9/4}}}

-------------------------------

If it's the second way, like this:

                   {{{-2/(3x)}}} - {{{1/2}}} = 1

then clear of fractions first by multiplying through
by the LCD of 6x

             6x·{{{-2/(3x)}}} - 6x·{{{1/2}}} = 6x·1
       
                    -4 - 3x = 6x

                        -9x = 4

                       {{{(-9x)/(-9)}}} = {{{4/(-9)}}}

                          x = {{{-4/9}}}
Edwin</pre>