SOLUTION: Please help me solve for R for this equation: {{{(3/(5+R)) + (R/(R+2))=(R+4)/(R+5) }}}

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Question 68304: Please help me solve for R for this equation: %283%2F%285%2BR%29%29+%2B+%28R%2F%28R%2B2%29%29=%28R%2B4%29%2F%28R%2B5%29+
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!

To solve a Rational Equation:
1. Multiply each term of the equation by the least common denominator.
With the problem 5 + R = R + 5 so the Least common denominator is (R+5)(R+2)

Solve the equation
%283%28R%2B2%29%29+%2B+%28R%28R%2B5%29%29=%28R%2B4%29%28R%2B2%29 Distributive Property
+%283R%2B6%29+%2B+%28R%5E2%2B5R%29+=+%28R%5E2+%2B+2R+%2B+4R+%2B+8%29
+3R+%2B+6+%2B+R%5E2+%2B+5R+=+R%5E2+%2B+6R+%2B+8%29
+R%5E2+%2B+8R+%2B+6+-+R%5E2+-+6R+-+8+=+0
+2R+-+2+=+0 Combine Like terms
2R+-+2+%2B+2+=+0+%2B+2 Add both sides with 2
+2R%2F2+=+2%2F2 divide both sides with 2
Answer is R = 1
Checking :
%283%2F%285%2BR%29%29+%2B+%28R%2F%28R%2B2%29%29=%28R%2B4%29%2F%28R%2B5%29+ , R = 1
%283%2F%285%2B1%29%29+%2B+%281%2F%281%2B2%29%29=%281%2B4%29%2F%281%2B5%29+
%283%2F6%29+%2B+%281%2F3%29=+5%2F6+
%283%2F6%29+%2B+%282%2F6%29+=+5%2F6
+5%2F6+=+5%2F6 True