SOLUTION: a+1 ____= 1 + a-2 ____ a 2a

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Question 193700: a+1
____= 1 + a-2
____
a 2a
Answer by jim_thompson5910(14934) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2B1%29%2Fa=1%2B%28a-2%29%2F%282a%29 Start with the given equation


2%2Across%28a%29%28%28a%2B1%29%2Fcross%28a%29%29=1%282a%29%2Bcross%282a%29%28%28a-2%29%2Fcross%282a%29%29 Multiply EVERY term by the LCD 2a to clear out the fractions.


2%28a%2B1%29=2a%2Ba-2 Multiply and simplify.


2a%2B2=2a%2Ba-2 Distribute.


2a%2B2=3a-2 Combine like terms.


2a%2B2%2B2=3a Add 2 to both sides.


2%2B2=3a-2a Subtract 2a from both sides.


4=a Combine like terms.


So the solution is a=4