Question 142028
<pre><font size = 4 color = "indigo"><b>
{{{a=(8b+5)/(4-3b)}}}

Clear of fractions:
Multiply both sides by {{{(4-3b)}}}}:

{{{a(4-3b)=(8b+5)/(4-3b)}}}{{{(4-3b)}}}

Cancel:

{{{a(4-3b)=(8b+5)/cross(4-3b)}}}{{{cross((4-3b))}}}

Multiply the left side out (distribute):

{{{4a-3ab=8b+5}}}

Isolate all terms in b on one side.  Choose
the right side to  isolate them on since all terms 
in b will then be positive:

{{{4a-5=8b+3ab}}}

Factor out b on the right side:

{{{4a-5=b(8+3a)}}}

Divide both sides by {{{(8+3a)}}}

{{{(4a-5)/(8+3a)= (b(8+3a))/(8+3a)}}}

Cancel on the right:

{{{(4a-5)/(8+3a)= (b*cross((8+3a)))/cross((8+3a))}}}

{{{(4a-5)/(8+3a)= b}}}

That's it unless you want to switch sides of the
equal sign:

{{{b=(4a-5)/(8+3a)}}}

Edwin</pre>