Question 643834
x/(2x+2)=-2x/(4x+4)+(2x-3)/(x-4) 
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The LCD is not relevant.
You need to solve for x
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If you mean {{{x/(2x+2)=-2x/(4x+4)+(2x-3)/(x-4) }}}
Reduce -2x/(4x+4)
{{{x/(2x+2)=-x/(2x+2)+(2x-3)/(x-4) }}}
Add x/(2x+2)
{{{2x/(2x+2)=(2x-3)/(x-4) }}}
Reduce again
{{{x/(x+1)=(2x-3)/(x-4) }}}
Cross multiply
x(x-4) = (x+1)*(2x+3)
{{{x^2 - 4x = 2x^2 + 5x + 3}}}
{{{x^2 + 9x + 3 = 0}}}
*[invoke solve_quadratic_equation 1,9,3]
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