SOLUTION: (6/2x-2)-(1/x+1)=(2/2x+2)+1

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Question 213791This question is from textbook College Algebra
: (6/2x-2)-(1/x+1)=(2/2x+2)+1 This question is from textbook College Algebra

Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
use y=1/x and get:
or
solve this now
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=6.
  • Graphical form: Equation was fully solved.
  • Text form: (6/2*y-2)-(y+1)=(2/2*y+2)+1 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (6/2*y-2)-(y+1)=(2/2*y+2)+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+6%2F2%2Ay+%29,highlight_red%28+-2+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+-y+%29,highlight_red%28+-1+%29
It becomes .
Look at .
Factors 6 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -3 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -3
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+3%2Ay+%29,highlight_red%28+-y+%29 replacing them with highlight_green%28+%283-1%29%2Ay+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes .
Look at .
Remove unneeded parentheses around terms highlight_red%28+2%2F2%2Ay+%29,highlight_red%28+2+%29
It becomes .
Look at .
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Reduce similar several occurrences of highlight_red%28+1+%29 to
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-y+%29,highlight_green%28+-3+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -6 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -6
It becomes .
Look at .
Eliminated similar terms highlight_red%28+2%2Ay+%29,highlight_red%28+-y+%29 replacing them with highlight_green%28+%282-1%29%2Ay+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+%282-1%29+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+y-6=0+%29 equivalent to y-6 =0
It becomes .
Result:
This is an equation! Solutions: y=6.

Universal Simplifier and Solver


Done!


since y = 6, then
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