Question 160177
Solve the literal equation for the variable "a".
<pre><font size = 4 color = "indigo"><b>
{{{x=(a+b+c)/(ab)}}}

Multiply both sides by {{{ab}}} to clear of fractions:


{{{(ab)x=(ab)((a+b+c)/(ab))}}}


{{{abx=(cross(ab))((a+b+c)/(cross(ab)))}}}

{{{abx=a+b+c}}}

Add {{{-a}}} to both sides to get all terms in "{{{a}}}"
and only those terms on the left:

{{{abx-a=b+c}}}

Factor out the "{{{a}}}" on the left side:

{{{a(bx-1)=b+c}}}

Divide both sides by {{{(bx-1)}}}

{{{a(bx-1)/((bx-1))=(b+c)/((bx-1))}}}

{{{a*cross((bx-1))/(cross((bx-1)))=(b+c)/((bx-1))}}}

{{{a=(b+c)/((bx-1))}}}

Might as well erase those parentheses on the bottom:

{{{a=(b+c)/(bx-1)}}}

Edwin</pre>