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

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Question 10318: simplify 2(x - 5) - 3(4x + 4)
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  • Graphical form: simplifies to
  • Text form: 2*(x-5)-3*(4x+4) simplifies to -10*x-22
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2*(x-5)-3*(4x+4) )
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DETAILED EXPLANATION


Look at .
Expanded term 2 by using associative property on %28x-5%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved -10 to the right of expression
It becomes .

Look at .
Expanded term -3 by using associative property on %284%2Ax%2B4%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -22
It becomes .

Look at .
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 .

Look at .
Added fractions or integers together
It becomes .

Look at .
Removed extra sign in front of -10
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes .
Result:

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

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