SOLUTION: How do I solve & put in set builder notations? -14 + -7(4-x) < 3(2x -15)

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Question 549567: How do I solve & put in set builder notations? -14 + -7(4-x) < 3(2x -15)
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
-14+%2B+-7%284-x%29+%3C+3%282x+-15%29
Expanding throughout the brackets we get:
-14+-28%2B7x+%3C+6x+-45
Now collecting like terms:
-42%2B7x+%3C+6x+-45
Now getting all values with an x on one side and all constants on the other:
-42%2B7x%2B42-6x+%3C+6x+-45%2B42-6x
7x-6x+%3C-45%2B42
And finally collecting like terms:
x+%3C-3