Question 58833
Find the value of x
 {{{(x+2)/(x-4)=7/4}}} First observe, that your solution cannot=4, or the denominator will be zero and the rational expression will be undefined. 
The LCD is 4(x-4), multiply both sides by the LCD.
{{{4(x-4)(x+2)/(x-4)=4(x-4)(7)/4}}}
{{{4*cross((x-4))(x+2)/cross((x-4))=cross(4)(x-4)(7)/cross((4))}}}
{{{4(x+2)=7(x-4)}}}
{{{4x+8=7x-28}}}
{{{-4x+4x+8=-4x+7x-28}}}
{{{8=3x-28}}}
{{{8+28=3x-28+28}}}
{{{36=3x}}}
{{{36/3=3x/3}}}
{{{12=x}}}
{{{highlight(x=12)}}}
Happy Calculating!!!