SOLUTION: 4(2r+1)-3(2r-5)=29

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Question 21872: 4(2r+1)-3(2r-5)=29
Answer by Alwayscheerful(414) About Me  (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: r=5.
  • Graphical form: Equation 4%2A%282r%2B1%29-3%2A%282r-5%29=29 was fully solved.
  • Text form: 4*(2r+1)-3*(2r-5)=29 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4%2A%282r%2B1%29-3%2A%282r-5%29=29+%29
    For tutors: simplify_cartoon( 4*(2r+1)-3*(2r-5)=29 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4%2A%282%2Ar%2B1%29-3%2A%282%2Ar-5%29=highlight_red%28+29+%29.
Moved these terms to the left highlight_green%28+-29+%29
It becomes 4%2A%282%2Ar%2B1%29-3%2A%282%2Ar-5%29-highlight_green%28+29+%29=0.
Look at highlight_red%28+4%2A%282%2Ar%2B1%29+%29-3%2A%282%2Ar-5%29-29=0.
Expanded term 4 by using associative property on %282%2Ar%2B1%29
It becomes highlight_green%28+4%2A2%2Ar+%29%2Bhighlight_green%28+4%2A1+%29-3%2A%282%2Ar-5%29-29=0.
Look at highlight_red%28+4+%29%2Ahighlight_red%28+2+%29%2Ar%2B4%2A1-3%2A%282%2Ar-5%29-29=0.
Multiplied numerator integers
It becomes highlight_green%28+8+%29%2Ar%2B4%2A1-3%2A%282%2Ar-5%29-29=0.
Look at 8%2Ar%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+1+%29-3%2A%282%2Ar-5%29-29=0.
Multiplied numerator integers
It becomes 8%2Ar%2Bhighlight_green%28+4+%29-3%2A%282%2Ar-5%29-29=0.
Look at 8%2Ar%2Bhighlight_red%28+4+%29-3%2A%282%2Ar-5%29-highlight_red%28+29+%29=0.
Added fractions or integers together
It becomes 8%2Ar%2Bhighlight_green%28+-25+%29-3%2A%282%2Ar-5%29=0.
Look at 8%2Ar%2Bhighlight_red%28+-25+%29-3%2A%282%2Ar-5%29=0.
Moved -25 to the right of expression
It becomes 8%2Ar-3%2A%282%2Ar-5%29%2Bhighlight_green%28+-25+%29=0.
Look at 8%2Ar-3%2A%282%2Ar-5%29%2Bhighlight_red%28+-25+%29=0.
Removed extra sign in front of -25
It becomes 8%2Ar-3%2A%282%2Ar-5%29-highlight_green%28+25+%29=0.
Look at 8%2Ar-highlight_red%28+3%2A%282%2Ar-5%29+%29-25=0.
Expanded term -3 by using associative property on %282%2Ar-5%29
It becomes 8%2Ar-highlight_green%28+3%2A2%2Ar+%29%2Bhighlight_green%28+3%2A5+%29-25=0.
Look at 8%2Ar-highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ar%2B3%2A5-25=0.
Multiplied numerator integers
It becomes 8%2Ar-highlight_green%28+6+%29%2Ar%2B3%2A5-25=0.
Look at 8%2Ar-6%2Ar%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+5+%29-25=0.
Multiplied numerator integers
It becomes 8%2Ar-6%2Ar%2Bhighlight_green%28+15+%29-25=0.
Look at 8%2Ar-6%2Ar%2Bhighlight_red%28+15+%29-highlight_red%28+25+%29=0.
Added fractions or integers together
It becomes 8%2Ar-6%2Ar%2Bhighlight_green%28+-10+%29=0.
Look at 8%2Ar-6%2Ar%2Bhighlight_red%28+-10+%29=0.
Removed extra sign in front of -10
It becomes 8%2Ar-6%2Ar-highlight_green%28+10+%29=0.
Look at highlight_red%28+8%2Ar+%29-highlight_red%28+6%2Ar+%29-10=0.
Eliminated similar terms highlight_red%28+8%2Ar+%29,highlight_red%28+-6%2Ar+%29 replacing them with highlight_green%28+%288-6%29%2Ar+%29
It becomes highlight_green%28+%288-6%29%2Ar+%29-10=0.
Look at %28highlight_red%28+8+%29-highlight_red%28+6+%29%29%2Ar-10=0.
Added fractions or integers together
It becomes %28highlight_green%28+2+%29%29%2Ar-10=0.
Look at highlight_red%28+%28highlight_red%28+2+%29%29%2Ar+%29-10=0.
Remove unneeded parentheses around factor highlight_red%28+2+%29
It becomes highlight_green%28+2+%29%2Ar-10=0.
Look at highlight_red%28+2%2Ar-10+%29=0.
Solved linear equation highlight_red%28+2%2Ar-10=0+%29 equivalent to 2*r-10 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: r=5.

Universal Simplifier and Solver


Done!

Hope this helps!