SOLUTION: simplify 2(x - 5) - 3(4x + 4)

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Question 10318: simplify 2(x - 5) - 3(4x + 4)
Answer by ichudov(499) 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


  • Here's what you tried:
  • Graphical form: 2%2A%28x-5%29-3%2A%284x%2B4%29 simplifies to -10%2Ax-22
  • Text form: 2*(x-5)-3*(4x+4) simplifies to -10*x-22
  • Cartoon (animation) form: simplify_cartoon%28+2%2A%28x-5%29-3%2A%284x%2B4%29+%29
    For tutors: simplify_cartoon( 2*(x-5)-3*(4x+4) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+2%2A%28x-5%29+%29-3%2A%284%2Ax%2B4%29.
Expanded term 2 by using associative property on %28x-5%29
It becomes highlight_green%28+2%2Ax+%29-highlight_green%28+2%2A5+%29-3%2A%284%2Ax%2B4%29.
Look at 2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+5+%29-3%2A%284%2Ax%2B4%29.
Multiplied numerator integers
It becomes 2%2Ax-highlight_green%28+10+%29-3%2A%284%2Ax%2B4%29.
Look at 2%2Ax-highlight_red%28+10+%29-3%2A%284%2Ax%2B4%29.
Moved -10 to the right of expression
It becomes 2%2Ax-3%2A%284%2Ax%2B4%29-highlight_green%28+10+%29.
Look at 2%2Ax-highlight_red%28+3%2A%284%2Ax%2B4%29+%29-10.
Expanded term -3 by using associative property on %284%2Ax%2B4%29
It becomes 2%2Ax-highlight_green%28+3%2A4%2Ax+%29-highlight_green%28+3%2A4+%29-10.
Look at 2%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29%2Ax-3%2A4-10.
Multiplied numerator integers
It becomes 2%2Ax-highlight_green%28+12+%29%2Ax-3%2A4-10.
Look at 2%2Ax-12%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-10.
Multiplied numerator integers
It becomes 2%2Ax-12%2Ax-highlight_green%28+12+%29-10.
Look at 2%2Ax-12%2Ax-highlight_red%28+12+%29-highlight_red%28+10+%29.
Added fractions or integers together
It becomes 2%2Ax-12%2Ax%2Bhighlight_green%28+-22+%29.
Look at 2%2Ax-12%2Ax%2Bhighlight_red%28+-22+%29.
Removed extra sign in front of -22
It becomes 2%2Ax-12%2Ax-highlight_green%28+22+%29.
Look at highlight_red%28+2%2Ax+%29-highlight_red%28+12%2Ax+%29-22.
Eliminated similar terms highlight_red%28+2%2Ax+%29,highlight_red%28+-12%2Ax+%29 replacing them with highlight_green%28+%282-12%29%2Ax+%29
It becomes highlight_green%28+%282-12%29%2Ax+%29-22.
Look at %28highlight_red%28+2+%29-highlight_red%28+12+%29%29%2Ax-22.
Added fractions or integers together
It becomes %28highlight_green%28+-10+%29%29%2Ax-22.
Look at %28highlight_red%28+-10+%29%29%2Ax-22.
Removed extra sign in front of -10
It becomes %28-highlight_green%28+10+%29%29%2Ax-22.
Look at highlight_red%28+%28-highlight_red%28+10+%29%29%2Ax+%29-22.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes -highlight_green%28+10+%29%2Ax-22.
Result: -10%2Ax-22

Universal Simplifier and Solver


Done!


2(x - 5) - 3(4x + 4)
use the distributive property
do 2 times x minus 2 times 5 minus -3 times 4x plus -3 times 4
you do the -3 because the "-" sign makes it negative

2x-10-12x+(-12)
combine like terms
-10x-10+-12
combine like terms
-10x-22