SOLUTION: x/2=3+(x-30/5) this is the only question i dont understand too well on my homework please help

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Question 213833: x/2=3+(x-30/5)
this is the only question i dont understand too well on my homework please help
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=6.
  • Graphical form: Equation was fully solved.
  • Text form: x/2=3+(x-30/5) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( x/2=3+(x-30/5) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around terms highlight_red%28+x+%29,highlight_red%28+-30%2F5+%29
It becomes .
Look at .
Factors 30 and 5 have greatest common factor (GCF) of 5. 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 .
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+3+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x%2F2+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%281%2F2-1%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-x%2F2%2B3=0+%29 equivalent to -0.5*x+3 =0
It becomes .
Result:
This is an equation! Solutions: x=6.

Universal Simplifier and Solver


Done!



I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J
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