SOLUTION: -29 = -(6x - 1) - 6(5 + 3x)

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Question 216433: -29 = -(6x - 1) - 6(5 + 3x)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
-29+=+-%286x+-+1%29+-+6%285+%2B+3x%29

The following steps will solve the above equaiton.

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


YOUR ANSWER


  • This is an equation! Solutions: x=0.
  • Graphical form: -29=-%286x-1%29-6%2A%285%2B3x%29 simplifies to 24=0
  • Text form: -29=-(6x-1)-6*(5+3x) simplifies to 24=0
  • Cartoon (animation) form: simplify_cartoon%28+-29=-%286x-1%29-6%2A%285%2B3x%29+%29
    For tutors: simplify_cartoon( -29=-(6x-1)-6*(5+3x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -29=-highlight_red%28+%286%2Ax-1%29+%29-6%2A%285%2B3%2Ax%29.
Remove unneeded parentheses around terms highlight_red%28+-6%2Ax+%29,highlight_red%28+1+%29
It becomes -29=-highlight_green%28+6%2Ax+%29%2Bhighlight_green%28+1+%29-6%2A%285%2B3%2Ax%29.
Look at -29=-6%2Ax%2B1-6%2A%28highlight_red%28+5+%29%2B3%2Ax%29.
Moved 5 to the right of expression
It becomes -29=-6%2Ax%2B1-6%2A%283%2Ax%2Bhighlight_green%28+5+%29%29.
Look at -29=-6%2Ax%2Bhighlight_red%28+1+%29-6%2A%283%2Ax%2B5%29.
Moved 1 to the right of expression
It becomes -29=-6%2Ax-6%2A%283%2Ax%2B5%29%2Bhighlight_green%28+1+%29.
Look at -29=highlight_red%28+-6%2Ax-6%2A%283%2Ax%2B5%29%2B1+%29.
Moved these terms to the left highlight_green%28+6%2Ax+%29,highlight_green%28+6%2A%283%2Ax%2B5%29+%29,highlight_green%28+-1+%29
It becomes .
Look at -highlight_red%28+29+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes highlight_green%28+-30+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29=0.
Look at highlight_red%28+-30+%29%2B6%2Ax%2B6%2A%283%2Ax%2B5%29=0.
Moved -30 to the right of expression
It becomes 6%2Ax%2B6%2A%283%2Ax%2B5%29%2Bhighlight_green%28+-30+%29=0.
Look at 6%2Ax%2B6%2A%283%2Ax%2B5%29%2Bhighlight_red%28+-30+%29=0.
Removed extra sign in front of -30
It becomes 6%2Ax%2B6%2A%283%2Ax%2B5%29-highlight_green%28+30+%29=0.
Look at 6%2Ax%2Bhighlight_red%28+6%2A%283%2Ax%2B5%29+%29-30=0.
Expanded term 6 by using associative property on %283%2Ax%2B5%29
It becomes 6%2Ax%2Bhighlight_green%28+6%2A3%2Ax+%29%2Bhighlight_green%28+6%2A5+%29-30=0.
Look at 6%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+3+%29%2Ax%2B6%2A5-30=0.
Multiplied numerator integers
It becomes 6%2Ax%2Bhighlight_green%28+18+%29%2Ax%2B6%2A5-30=0.
Look at 6%2Ax%2B18%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+5+%29-30=0.
Multiplied numerator integers
It becomes 6%2Ax%2B18%2Ax%2Bhighlight_green%28+30+%29-30=0.
Look at 6%2Ax%2B18%2Ax%2Bhighlight_red%28+30+%29-highlight_red%28+30+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2B18%2Ax%2Bhighlight_green%28+0+%29=0.
Look at 6%2Ax%2B18%2Ax%2Bhighlight_red%28+0+%29=0.
Remove extraneous zero highlight_red%28+0+%29
It becomes 6%2Ax%2B18%2Ax=0.
Look at highlight_red%28+6%2Ax+%29%2Bhighlight_red%28+18%2Ax+%29=0.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+18%2Ax+%29 replacing them with highlight_green%28+%286%2B18%29%2Ax+%29
It becomes highlight_green%28+%286%2B18%29%2Ax+%29=0.
Look at %28highlight_red%28+6+%29%2Bhighlight_red%28+18+%29%29%2Ax=0.
Added fractions or integers together
It becomes %28highlight_green%28+24+%29%29%2Ax=0.
Look at highlight_red%28+%28highlight_red%28+24+%29%29%2Ax+%29=0.
Remove unneeded parentheses around factor highlight_red%28+24+%29
It becomes highlight_green%28+24+%29%2Ax=0.
Look at 24%2Ahighlight_red%28+x+%29=0.
Notes known roots (x-(0))
Look at highlight_red%28+24%2A%28highlight_red%28+1+%29%29+%29=0.
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes 24%2Ahighlight_green%28+1+%29=0.
Look at highlight_red%28+24+%29%2Ahighlight_red%28+1+%29=0.
Multiplied numerator integers
It becomes highlight_green%28+24+%29=0.
Result: 24=0
This is an equation! Solutions: x=0.

Universal Simplifier and Solver


Done!



I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Also, good luck in your studies and contact me at
john@e-liteworks.com for your future math needs.

Respectfully,
Dr J