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

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: x/2=3+(x-30/5) this is the only question i dont understand too well on my homework please help      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F2=3%2B%28x-30%2F5%29

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


YOUR ANSWER


  • This is an equation! Solutions: x=6.
  • Graphical form: Equation x%2F2=3%2B%28x-30%2F5%29 was fully solved.
  • Text form: x/2=3+(x-30/5) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+x%2F2=3%2B%28x-30%2F5%29+%29
    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 x%2F2=3%2Bhighlight_red%28+%28x-30%2F5%29+%29.
Remove unneeded parentheses around terms highlight_red%28+x+%29,highlight_red%28+-30%2F5+%29
It becomes x%2F2=3%2Bhighlight_green%28+x+%29-highlight_green%28+30%2F5+%29.
Look at x%2F2=3%2Bx-highlight_red%28+30+%29%2Fhighlight_red%28+5+%29.
Factors 30 and 5 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes x%2F2=3%2Bx-highlight_green%28+6+%29%2Fhighlight_green%28+1+%29.
Look at x%2F2=highlight_red%28+3+%29%2Bx-highlight_red%28+6%2F1+%29.
Added fractions or integers together
It becomes x%2F2=highlight_green%28+-3+%29%2Bx.
Look at x%2F2=highlight_red%28+-3+%29%2Bx.
Moved -3 to the right of expression
It becomes x%2F2=x%2Bhighlight_green%28+-3+%29.
Look at x%2F2=x%2Bhighlight_red%28+-3+%29.
Removed extra sign in front of -3
It becomes x%2F2=x-highlight_green%28+3+%29.
Look at x%2F2=highlight_red%28+x-3+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+3+%29
It becomes x%2F2-highlight_green%28+x+%29%2Bhighlight_green%28+3+%29=0.
Look at highlight_red%28+x%2F2+%29-highlight_red%28+x+%29%2B3=0.
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 highlight_green%28+%281%2F2-1%29%2Ax+%29%2B3=0.
Look at %28highlight_red%28+1%2F2+%29-highlight_red%28+1+%29%29%2Ax%2B3=0.
Added fractions or integers together
It becomes %28-highlight_green%28+1%2F2+%29%29%2Ax%2B3=0.
Look at highlight_red%28+%28-highlight_red%28+1%2F2+%29%29%2Ax+%29%2B3=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes -highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2Ax%2B3=0.
Look at -highlight_red%28+1+%29%2F2%2Ax%2B3=0.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes -x%2F2%2B3=0.
Look at highlight_red%28+-x%2F2%2B3+%29=0.
Solved linear equation highlight_red%28+-x%2F2%2B3=0+%29 equivalent to -0.5*x+3 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
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