SOLUTION: help simplify -(5x+5)-4+8x

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Question 19161: help simplify -(5x+5)-4+8x
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: -%285x%2B5%29-4%2B8x simplifies to 3%2Ax-9
  • Text form: -(5x+5)-4+8x simplifies to 3*x-9
  • Cartoon (animation) form: simplify_cartoon%28+-%285x%2B5%29-4%2B8x+%29
    For tutors: simplify_cartoon( -(5x+5)-4+8x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -highlight_red%28+%285%2Ax%2B5%29+%29-4%2B8%2Ax.
Remove unneeded parentheses around terms highlight_red%28+-5%2Ax+%29,highlight_red%28+-5+%29
It becomes -highlight_green%28+5%2Ax+%29-highlight_green%28+5+%29-4%2B8%2Ax.
Look at -5%2Ax-highlight_red%28+5+%29-highlight_red%28+4+%29%2B8%2Ax.
Added fractions or integers together
It becomes -5%2Ax%2Bhighlight_green%28+-9+%29%2B8%2Ax.
Look at -5%2Ax%2Bhighlight_red%28+-9+%29%2B8%2Ax.
Moved -9 to the right of expression
It becomes -5%2Ax%2B8%2Ax%2Bhighlight_green%28+-9+%29.
Look at -5%2Ax%2B8%2Ax%2Bhighlight_red%28+-9+%29.
Removed extra sign in front of -9
It becomes -5%2Ax%2B8%2Ax-highlight_green%28+9+%29.
Look at -highlight_red%28+5%2Ax+%29%2Bhighlight_red%28+8%2Ax+%29-9.
Eliminated similar terms highlight_red%28+-5%2Ax+%29,highlight_red%28+8%2Ax+%29 replacing them with highlight_green%28+%28-5%2B8%29%2Ax+%29
It becomes highlight_green%28+%28-5%2B8%29%2Ax+%29-9.
Look at %28-highlight_red%28+5+%29%2Bhighlight_red%28+8+%29%29%2Ax-9.
Added fractions or integers together
It becomes %28highlight_green%28+3+%29%29%2Ax-9.
Look at highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29-9.
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2Ax-9.
Result: 3%2Ax-9

Universal Simplifier and Solver


Done!