SOLUTION: Solve: X x-3 7 ------ + ------ = --- 5x+10 x+2 5 DO I need to just figure out what x equals to figure get the 7/5? If so how do I go about

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Question 66393: Solve:
X x-3 7
------ + ------ = ---
5x+10 x+2 5
DO I need to just figure out what x equals to figure get the 7/5? If so how do I go about this because it could be many different solutions. Thank you

Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Solve:
Multiply the second fraction by to get the fractions over a common denominator.
Simplify.
Simplify.
Factor 5 in the denominator.
Multiply both sides by 5.
Multiply both sides by (x+2)
Simplify.
Subtract 6x from both sides.
Subtract 14 from both sides.
or
Check: Substitute x = -29.
Simplify.

Multiply the second fraction by and drop the negative signs.
Add the fractions.
Reduce to simplest form.
=

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