SOLUTION: can you show me how to simplify 11-(3x-6)+2(4x+5)-x

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Question 19160: can you show me how to simplify 11-(3x-6)+2(4x+5)-x
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Next time, don't put these kind of questions in the Trigonometry-Basics section. You probably don't know what trignometry is. Please don't put these Algebra questions into this section. They are extrememly different.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Here's what you tried:
  • Graphical form: 11-%283x-6%29%2B2%2A%284x%2B5%29-x simplifies to 4%2Ax%2B27
  • Text form: 11-(3x-6)+2*(4x+5)-x simplifies to 4*x+27
  • Cartoon (animation) form: simplify_cartoon%28+11-%283x-6%29%2B2%2A%284x%2B5%29-x+%29
    For tutors: simplify_cartoon( 11-(3x-6)+2*(4x+5)-x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 11-highlight_red%28+%283%2Ax-6%29+%29%2B2%2A%284%2Ax%2B5%29-x.
Remove unneeded parentheses around terms highlight_red%28+-3%2Ax+%29,highlight_red%28+6+%29
It becomes 11-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+6+%29%2B2%2A%284%2Ax%2B5%29-x.
Look at highlight_red%28+11+%29-3%2Ax%2Bhighlight_red%28+6+%29%2B2%2A%284%2Ax%2B5%29-x.
Added fractions or integers together
It becomes highlight_green%28+17+%29-3%2Ax%2B2%2A%284%2Ax%2B5%29-x.
Look at highlight_red%28+17+%29-3%2Ax%2B2%2A%284%2Ax%2B5%29-x.
Moved 17 to the right of expression
It becomes -3%2Ax%2B2%2A%284%2Ax%2B5%29-x%2Bhighlight_green%28+17+%29.
Look at -highlight_red%28+3%2Ax+%29%2B2%2A%284%2Ax%2B5%29-highlight_red%28+x+%29%2B17.
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%28-3-1%29%2Ax+%29
It becomes highlight_green%28+%28-3-1%29%2Ax+%29%2B2%2A%284%2Ax%2B5%29%2B17.
Look at %28-highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax%2B2%2A%284%2Ax%2B5%29%2B17.
Added fractions or integers together
It becomes %28highlight_green%28+-4+%29%29%2Ax%2B2%2A%284%2Ax%2B5%29%2B17.
Look at %28highlight_red%28+-4+%29%29%2Ax%2B2%2A%284%2Ax%2B5%29%2B17.
Removed extra sign in front of -4
It becomes %28-highlight_green%28+4+%29%29%2Ax%2B2%2A%284%2Ax%2B5%29%2B17.
Look at highlight_red%28+%28-highlight_red%28+4+%29%29%2Ax+%29%2B2%2A%284%2Ax%2B5%29%2B17.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -highlight_green%28+4+%29%2Ax%2B2%2A%284%2Ax%2B5%29%2B17.
Look at -4%2Ax%2Bhighlight_red%28+2%2A%284%2Ax%2B5%29+%29%2B17.
Expanded term 2 by using associative property on %284%2Ax%2B5%29
It becomes -4%2Ax%2Bhighlight_green%28+2%2A4%2Ax+%29%2Bhighlight_green%28+2%2A5+%29%2B17.
Look at -4%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29%2Ax%2B2%2A5%2B17.
Multiplied numerator integers
It becomes -4%2Ax%2Bhighlight_green%28+8+%29%2Ax%2B2%2A5%2B17.
Look at -4%2Ax%2B8%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+5+%29%2B17.
Multiplied numerator integers
It becomes -4%2Ax%2B8%2Ax%2Bhighlight_green%28+10+%29%2B17.
Look at -4%2Ax%2B8%2Ax%2Bhighlight_red%28+10+%29%2Bhighlight_red%28+17+%29.
Added fractions or integers together
It becomes -4%2Ax%2B8%2Ax%2Bhighlight_green%28+27+%29.
Look at -highlight_red%28+4%2Ax+%29%2Bhighlight_red%28+8%2Ax+%29%2B27.
Eliminated similar terms highlight_red%28+-4%2Ax+%29,highlight_red%28+8%2Ax+%29 replacing them with highlight_green%28+%28-4%2B8%29%2Ax+%29
It becomes highlight_green%28+%28-4%2B8%29%2Ax+%29%2B27.
Look at %28-highlight_red%28+4+%29%2Bhighlight_red%28+8+%29%29%2Ax%2B27.
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ax%2B27.
Look at highlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B27.
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ax%2B27.
Result: 4%2Ax%2B27

Universal Simplifier and Solver


Done!

Hope this helps!