SOLUTION: 6(-6x+2)-3(x-11) simplify for x

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Question 616048: 6(-6x+2)-3(x-11) simplify for x
Answer by asuar010(338) About Me  (Show Source):
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Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: 6%2A%28-6x%2B2%29-3%2A%28x-11%29 simplifies to -39%2Ax%2B45
  • Text form: 6*(-6x+2)-3*(x-11) simplifies to -39*x+45
  • Cartoon (animation) form: simplify_cartoon%28+6%2A%28-6x%2B2%29-3%2A%28x-11%29+%29
    For tutors: simplify_cartoon( 6*(-6x+2)-3*(x-11) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+6%2A%28-6%2Ax%2B2%29+%29-3%2A%28x-11%29.
Expanded term 6 by using associative property on %28-6%2Ax%2B2%29
It becomes -highlight_green%28+6%2A6%2Ax+%29%2Bhighlight_green%28+6%2A2+%29-3%2A%28x-11%29.
Look at -highlight_red%28+6+%29%2Ahighlight_red%28+6+%29%2Ax%2B6%2A2-3%2A%28x-11%29.
Multiplied numerator integers
It becomes -highlight_green%28+36+%29%2Ax%2B6%2A2-3%2A%28x-11%29.
Look at -36%2Ax%2Bhighlight_red%28+6+%29%2Ahighlight_red%28+2+%29-3%2A%28x-11%29.
Multiplied numerator integers
It becomes -36%2Ax%2Bhighlight_green%28+12+%29-3%2A%28x-11%29.
Look at -36%2Ax%2Bhighlight_red%28+12+%29-3%2A%28x-11%29.
Moved 12 to the right of expression
It becomes -36%2Ax-3%2A%28x-11%29%2Bhighlight_green%28+12+%29.
Look at -36%2Ax-highlight_red%28+3%2A%28x-11%29+%29%2B12.
Expanded term -3 by using associative property on %28x-11%29
It becomes -36%2Ax-highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A11+%29%2B12.
Look at -36%2Ax-3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+11+%29%2B12.
Multiplied numerator integers
It becomes -36%2Ax-3%2Ax%2Bhighlight_green%28+33+%29%2B12.
Look at -36%2Ax-3%2Ax%2Bhighlight_red%28+33+%29%2Bhighlight_red%28+12+%29.
Added fractions or integers together
It becomes -36%2Ax-3%2Ax%2Bhighlight_green%28+45+%29.
Look at -highlight_red%28+36%2Ax+%29-highlight_red%28+3%2Ax+%29%2B45.
Eliminated similar terms highlight_red%28+-36%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%28-36-3%29%2Ax+%29
It becomes highlight_green%28+%28-36-3%29%2Ax+%29%2B45.
Look at %28-highlight_red%28+36+%29-highlight_red%28+3+%29%29%2Ax%2B45.
Added fractions or integers together
It becomes %28highlight_green%28+-39+%29%29%2Ax%2B45.
Look at %28highlight_red%28+-39+%29%29%2Ax%2B45.
Removed extra sign in front of -39
It becomes %28-highlight_green%28+39+%29%29%2Ax%2B45.
Look at highlight_red%28+%28-highlight_red%28+39+%29%29%2Ax+%29%2B45.
Remove unneeded parentheses around factor highlight_red%28+39+%29
It becomes -highlight_green%28+39+%29%2Ax%2B45.
Result: -39%2Ax%2B45

Universal Simplifier and Solver


Done!