first, get rid of the parens:
3(x-2)-9(x^2+7x+4)-5(x+8)
3x - 6 - 9x^2 - 63x - 36 - 5x - 40
Now collect like powers of x:
-9x^2 + (3-63-5)x + (-6-36-40)
-9x^2 - 65x - 82
simplify the expression
3(x-2)-9(x^2+7x+4)-5(x+8)
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