SOLUTION: 5(4[3(2 + x)]) - 5(-4[-3(2 - x)]) I need help simplifying this can someone help me its an polynomial equation i hate these

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 5(4[3(2 + x)]) - 5(-4[-3(2 - x)]) I need help simplifying this can someone help me its an polynomial equation i hate these       Log On


   

Question 868049: 5(4[3(2 + x)]) - 5(-4[-3(2 - x)]) I need help simplifying this can someone help me its an polynomial equation i hate these
Found 2 solutions by rothauserc, Fombitz:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
() and [] always mean "do me first"
5(4[3(2 + x)]) - 5(-4[-3(2 - x)])
5(4(6+3x)) - 5(-4(-6+3x))
5(24+12x) - 5(24-12x)
120+60x -120+60x
120x

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Work from the inside out.
5%284%283%282+%2B+x%29%29%29=5%284%286+%2B+3x%29%29
5%284%283%282+%2B+x%29%29%29=5%2824+%2B+12x%29
5%284%283%282+%2B+x%29%29%29=120%2B+60x%29
.
.
.
5%28-4%28-3%282+-+x%29%29%29=5%28-4%28-6+%2B3x%29%29
5%28-4%28-3%282+-+x%29%29%29=5%2824-12x%29
5%28-4%28-3%282+-+x%29%29%29=120-60x%29%29
So then,
5%284%283%282+%2B+x%29%29%29-5%28-4%28-3%282+-+x%29%29%29=120%2B+60x-%28120-60x%29
5%284%283%282+%2B+x%29%29%29-5%28-4%28-3%282+-+x%29%29%29=120x
You could have also pulled out all the multipliers,

5%284%283%282+%2B+x%29%29%29-5%28-4%28-3%282+-+x%29%29%29=60%282%2Bx%2B%28x-2%29%29
5%284%283%282+%2B+x%29%29%29-5%28-4%28-3%282+-+x%29%29%29=60%282x%29
5%284%283%282+%2B+x%29%29%29-5%28-4%28-3%282+-+x%29%29%29=120x