SOLUTION: How do I simp 7(2x+2)-9(-1+6x)

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Question 19134: How do I simp 7(2x+2)-9(-1+6x)
Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
Don't post this question in Trigonometry-basics next time...it is completely off
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 7%2A%282x%2B2%29-9%2A%28-1%2B6x%29 simplifies to -40%2Ax%2B23
  • Text form: 7*(2x+2)-9*(-1+6x) simplifies to -40*x+23
  • Cartoon (animation) form: simplify_cartoon%28+7%2A%282x%2B2%29-9%2A%28-1%2B6x%29+%29
    For tutors: simplify_cartoon( 7*(2x+2)-9*(-1+6x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 7%2A%282%2Ax%2B2%29-9%2A%28-highlight_red%28+1+%29%2B6%2Ax%29.
Moved -1 to the right of expression
It becomes 7%2A%282%2Ax%2B2%29-9%2A%286%2Ax-highlight_green%28+1+%29%29.
Look at highlight_red%28+7%2A%282%2Ax%2B2%29+%29-9%2A%286%2Ax-1%29.
Expanded term 7 by using associative property on %282%2Ax%2B2%29
It becomes highlight_green%28+7%2A2%2Ax+%29%2Bhighlight_green%28+7%2A2+%29-9%2A%286%2Ax-1%29.
Look at highlight_red%28+7+%29%2Ahighlight_red%28+2+%29%2Ax%2B7%2A2-9%2A%286%2Ax-1%29.
Multiplied numerator integers
It becomes highlight_green%28+14+%29%2Ax%2B7%2A2-9%2A%286%2Ax-1%29.
Look at 14%2Ax%2Bhighlight_red%28+7+%29%2Ahighlight_red%28+2+%29-9%2A%286%2Ax-1%29.
Multiplied numerator integers
It becomes 14%2Ax%2Bhighlight_green%28+14+%29-9%2A%286%2Ax-1%29.
Look at 14%2Ax%2Bhighlight_red%28+14+%29-9%2A%286%2Ax-1%29.
Moved 14 to the right of expression
It becomes 14%2Ax-9%2A%286%2Ax-1%29%2Bhighlight_green%28+14+%29.
Look at 14%2Ax-highlight_red%28+9%2A%286%2Ax-1%29+%29%2B14.
Expanded term -9 by using associative property on %286%2Ax-1%29
It becomes 14%2Ax-highlight_green%28+9%2A6%2Ax+%29%2Bhighlight_green%28+9%2A1+%29%2B14.
Look at 14%2Ax-highlight_red%28+9+%29%2Ahighlight_red%28+6+%29%2Ax%2B9%2A1%2B14.
Multiplied numerator integers
It becomes 14%2Ax-highlight_green%28+54+%29%2Ax%2B9%2A1%2B14.
Look at 14%2Ax-54%2Ax%2Bhighlight_red%28+9+%29%2Ahighlight_red%28+1+%29%2B14.
Multiplied numerator integers
It becomes 14%2Ax-54%2Ax%2Bhighlight_green%28+9+%29%2B14.
Look at 14%2Ax-54%2Ax%2Bhighlight_red%28+9+%29%2Bhighlight_red%28+14+%29.
Added fractions or integers together
It becomes 14%2Ax-54%2Ax%2Bhighlight_green%28+23+%29.
Look at highlight_red%28+14%2Ax+%29-highlight_red%28+54%2Ax+%29%2B23.
Eliminated similar terms highlight_red%28+14%2Ax+%29,highlight_red%28+-54%2Ax+%29 replacing them with highlight_green%28+%2814-54%29%2Ax+%29
It becomes highlight_green%28+%2814-54%29%2Ax+%29%2B23.
Look at %28highlight_red%28+14+%29-highlight_red%28+54+%29%29%2Ax%2B23.
Added fractions or integers together
It becomes %28highlight_green%28+-40+%29%29%2Ax%2B23.
Look at %28highlight_red%28+-40+%29%29%2Ax%2B23.
Removed extra sign in front of -40
It becomes %28-highlight_green%28+40+%29%29%2Ax%2B23.
Look at highlight_red%28+%28-highlight_red%28+40+%29%29%2Ax+%29%2B23.
Remove unneeded parentheses around factor highlight_red%28+40+%29
It becomes -highlight_green%28+40+%29%2Ax%2B23.
Result: -40%2Ax%2B23

Universal Simplifier and Solver


Done!

Hope this helps!