Question 1086002
Use parentheses to make it crystal clear,
(2x)/(x+2)+(x+2)/(2x)=2
{{{(4x^2)/(x+2)+(x+2)=4x}}}
{{{(4x^2)+(x+2)^2=4x(x+2)}}}
{{{4x^2+x^2+4x+4=4x^2+8x}}}
{{{x^2-4x+4=0}}}
{{{(x-2)^2=0}}}
{{{x-2=0}}}
{{{x=2}}}