SOLUTION: 3(d-8)-5=9(d+2)+1

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Question 19131: 3(d-8)-5=9(d+2)+1
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: d=-8.
  • Graphical form: Equation 3%2A%28d-8%29-5=9%2A%28d%2B2%29%2B1 was fully solved.
  • Text form: 3*(d-8)-5=9*(d+2)+1 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+3%2A%28d-8%29-5=9%2A%28d%2B2%29%2B1+%29
    For tutors: simplify_cartoon( 3*(d-8)-5=9*(d+2)+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 3%2A%28d-8%29-5=highlight_red%28+9%2A%28d%2B2%29%2B1+%29.
Moved these terms to the left highlight_green%28+-9%2A%28d%2B2%29+%29,highlight_green%28+-1+%29
It becomes 3%2A%28d-8%29-5-highlight_green%28+9%2A%28d%2B2%29+%29-highlight_green%28+1+%29=0.
Look at 3%2A%28d-8%29-highlight_red%28+5+%29-9%2A%28d%2B2%29-highlight_red%28+1+%29=0.
Added fractions or integers together
It becomes 3%2A%28d-8%29%2Bhighlight_green%28+-6+%29-9%2A%28d%2B2%29=0.
Look at 3%2A%28d-8%29%2Bhighlight_red%28+-6+%29-9%2A%28d%2B2%29=0.
Moved -6 to the right of expression
It becomes 3%2A%28d-8%29-9%2A%28d%2B2%29%2Bhighlight_green%28+-6+%29=0.
Look at 3%2A%28d-8%29-9%2A%28d%2B2%29%2Bhighlight_red%28+-6+%29=0.
Removed extra sign in front of -6
It becomes 3%2A%28d-8%29-9%2A%28d%2B2%29-highlight_green%28+6+%29=0.
Look at highlight_red%28+3%2A%28d-8%29+%29-9%2A%28d%2B2%29-6=0.
Expanded term 3 by using associative property on %28d-8%29
It becomes highlight_green%28+3%2Ad+%29-highlight_green%28+3%2A8+%29-9%2A%28d%2B2%29-6=0.
Look at 3%2Ad-highlight_red%28+3+%29%2Ahighlight_red%28+8+%29-9%2A%28d%2B2%29-6=0.
Multiplied numerator integers
It becomes 3%2Ad-highlight_green%28+24+%29-9%2A%28d%2B2%29-6=0.
Look at 3%2Ad-highlight_red%28+24+%29-9%2A%28d%2B2%29-highlight_red%28+6+%29=0.
Added fractions or integers together
It becomes 3%2Ad%2Bhighlight_green%28+-30+%29-9%2A%28d%2B2%29=0.
Look at 3%2Ad%2Bhighlight_red%28+-30+%29-9%2A%28d%2B2%29=0.
Moved -30 to the right of expression
It becomes 3%2Ad-9%2A%28d%2B2%29%2Bhighlight_green%28+-30+%29=0.
Look at 3%2Ad-9%2A%28d%2B2%29%2Bhighlight_red%28+-30+%29=0.
Removed extra sign in front of -30
It becomes 3%2Ad-9%2A%28d%2B2%29-highlight_green%28+30+%29=0.
Look at 3%2Ad-highlight_red%28+9%2A%28d%2B2%29+%29-30=0.
Expanded term -9 by using associative property on %28d%2B2%29
It becomes 3%2Ad-highlight_green%28+9%2Ad+%29-highlight_green%28+9%2A2+%29-30=0.
Look at 3%2Ad-9%2Ad-highlight_red%28+9+%29%2Ahighlight_red%28+2+%29-30=0.
Multiplied numerator integers
It becomes 3%2Ad-9%2Ad-highlight_green%28+18+%29-30=0.
Look at 3%2Ad-9%2Ad-highlight_red%28+18+%29-highlight_red%28+30+%29=0.
Added fractions or integers together
It becomes 3%2Ad-9%2Ad%2Bhighlight_green%28+-48+%29=0.
Look at 3%2Ad-9%2Ad%2Bhighlight_red%28+-48+%29=0.
Removed extra sign in front of -48
It becomes 3%2Ad-9%2Ad-highlight_green%28+48+%29=0.
Look at highlight_red%28+3%2Ad+%29-highlight_red%28+9%2Ad+%29-48=0.
Eliminated similar terms highlight_red%28+3%2Ad+%29,highlight_red%28+-9%2Ad+%29 replacing them with highlight_green%28+%283-9%29%2Ad+%29
It becomes highlight_green%28+%283-9%29%2Ad+%29-48=0.
Look at %28highlight_red%28+3+%29-highlight_red%28+9+%29%29%2Ad-48=0.
Added fractions or integers together
It becomes %28highlight_green%28+-6+%29%29%2Ad-48=0.
Look at %28highlight_red%28+-6+%29%29%2Ad-48=0.
Removed extra sign in front of -6
It becomes %28-highlight_green%28+6+%29%29%2Ad-48=0.
Look at highlight_red%28+%28-highlight_red%28+6+%29%29%2Ad+%29-48=0.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -highlight_green%28+6+%29%2Ad-48=0.
Look at highlight_red%28+-6%2Ad-48+%29=0.
Solved linear equation highlight_red%28+-6%2Ad-48=0+%29 equivalent to -6*d-48 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: d=-8.

Universal Simplifier and Solver


Done!

Hope this helps!