SOLUTION: Simplify {{{5x-2(3-2(x+2(x-3)))}}}

Algebra ->  Expressions -> SOLUTION: Simplify {{{5x-2(3-2(x+2(x-3)))}}}      Log On


   

Question 175714: Simplify 5x-2%283-2%28x%2B2%28x-3%29%29%29
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
We start by distributing through in the innermost parentheses:
5x-2%283-2%28x%2B2%28x-3%29%29%29+=+5x-2%283-2%28x%2B2x-6%29%29+=+5x-2%283-2%283x-6%29%29
Repeat:
5x-2%283-2%283x-6%29%29+=+5x-2%283-6x%2B12%29+=+5x-2%28-6x%2B15%29
And one more time:
5x-2%28-6x%2B15%29+=+5x%2B12x-30+=+17x-30