Question 210330
Hopefully this is the correct representation of your problem. Try to add more parenthesis next time so it is more clear.
{{{(2x+4)/(x-3)=(2x+2)/(x+4)}}}
Multiply each side of equation by (x-3):
{{{(2x+4)=((2x+2)(x-3))/(x+4)}}}
Multiply each side of equation by (x+4):
{{{(2x+4)(x+4)=(2x+2)(x-3)}}}
Simplify:
{{{2x^2+12x+16=2x^2-4x-6}}}
Get all the x terms on one side of the equation:
{{{2x^2-2x^2+12x+4x=-6-16}}}
Simplify:
{{{16x=-22}}}
{{{x=-22/16}}}
{{{highlight(x=-11/8)}}}
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Good Luck,
tutor_paul@yahoo.com