Question 757756
<pre>
{{{(x+7)/(2x+3){{{""=""}}}{{{8/5}}}

Cross-multiply:

5(x + 7) = 8(2x + 3)

 5x + 35 = 16x + 24
    -11x = -11
       x = {{{(-11)/(-11)}}}
       x = 1

Check by substituting in the original equation:

{{{(x+7)/(2x+3)}}}{{{""=""}}}{{{8/5}}}
{{{((1)+7)/(2(1)+3)}}}{{{""=""}}}{{{8/5}}}
{{{(1+7)/(2+3)}}}{{{""=""}}}{{{8/5}}}
{{{8/5}}}{{{""=""}}}{{{8/5}}}

It checks.  So x = 1 is the correct solution.

Edwin</pre>