SOLUTION: How do I simp (x+2)-(x-2)-12x?

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Question 19141: How do I simp (x+2)-(x-2)-12x?
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


  • Graphical form: %28x%2B2%29-%28x-2%29-12x simplifies to -12%2Ax%2B4
  • Text form: (x+2)-(x-2)-12x simplifies to -12*x+4
  • Cartoon (animation) form: simplify_cartoon%28+%28x%2B2%29-%28x-2%29-12x+%29
    For tutors: simplify_cartoon( (x+2)-(x-2)-12x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28x%2B2%29+%29-%28x-2%29-12%2Ax.
Remove unneeded parentheses around terms highlight_red%28+x+%29,highlight_red%28+2+%29
It becomes highlight_green%28+x+%29%2Bhighlight_green%28+2+%29-%28x-2%29-12%2Ax.
Look at x%2B2-highlight_red%28+%28x-2%29+%29-12%2Ax.
Remove unneeded parentheses around terms highlight_red%28+-x+%29,highlight_red%28+2+%29
It becomes x%2B2-highlight_green%28+x+%29%2Bhighlight_green%28+2+%29-12%2Ax.
Look at x%2Bhighlight_red%28+2+%29-x%2Bhighlight_red%28+2+%29-12%2Ax.
Added fractions or integers together
It becomes x%2Bhighlight_green%28+4+%29-x-12%2Ax.
Look at x%2Bhighlight_red%28+4+%29-x-12%2Ax.
Moved 4 to the right of expression
It becomes x-x-12%2Ax%2Bhighlight_green%28+4+%29.
Look at highlight_red%28+x+%29-highlight_red%28+x+%29-highlight_red%28+12%2Ax+%29%2B4.
Eliminated similar terms highlight_red%28+x+%29,highlight_red%28+-x+%29,highlight_red%28+-12%2Ax+%29 replacing them with highlight_green%28+%281-1-12%29%2Ax+%29
It becomes highlight_green%28+%281-1-12%29%2Ax+%29%2B4.
Look at %28highlight_red%28+1+%29-highlight_red%28+1+%29-highlight_red%28+12+%29%29%2Ax%2B4.
Added fractions or integers together
It becomes %28highlight_green%28+-12+%29%29%2Ax%2B4.
Look at %28highlight_red%28+-12+%29%29%2Ax%2B4.
Removed extra sign in front of -12
It becomes %28-highlight_green%28+12+%29%29%2Ax%2B4.
Look at highlight_red%28+%28-highlight_red%28+12+%29%29%2Ax+%29%2B4.
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes -highlight_green%28+12+%29%2Ax%2B4.
Result: -12%2Ax%2B4

Universal Simplifier and Solver


Done!

Hope this helps!