Question 988776
Assuming you mean exactly as written, the equation would look like this if properly rendered:
{{{1/x-1/3x-1/2x=6/x+1}}}


The denominators found are:  x, 3x, 2x, x.
Some ambiguity is possible but I am guessing those x are part of the denominators.  Without explaining, the lowest or simplest common denominator is 6x.


Multiply the left and right members by 6x in order to begin simplifying and to solve the equation.  If you are still stuck, say so.


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Your actual equation in PURE TEXT needs to be 1/x-1/(3x)-1/(2x)=6/(x+1).
Rendering tags triple left and triple right curly brackets will give the
more expected appearance,
{{{1/x-1/(3x)-1/(2x)=6/(x+1)}}}.


Now, the denominators are
x
3x
2x
x+1
-
The simplest COMMON denominator is {{{6x(x+1)}}} which you should use in this factored form.


Solving with the steps as described earlier,

{{{(1/x-1/(3x)-1/(2x))6x(x+1)=(6/(x+1))6x(x+1)}}}----multiply both sides by 6x(x+1)
{{{6(x+1)-2(x+1)-3(x+1)=6*6x}}}------Left-side member results from Distributive Property
{{{6x+6-2x-2-3x-3=36x}}}------Distributive Property again
{{{6x-2x-3x+6-2-3=36x}}}-------equivalent to commutative property for addition
{{{x+1=36x}}}
{{{1=35x}}}
{{{highlight(x=1/35)}}}