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Question 76614: distributive property,expand and simplify this question
3x + 2(5x - 3)
the textbook "Math power NINE" page. 94-95
Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! 3x + 2(5x - 3)
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The +2 multiplies each of the terms inside the parentheses. When you multiply +2 times 5x
you get +10x because 2 times 5 equals 10. When you multiply the +2 times the -3 you get
-6. The 2 times the 3 is 6 and the minus sign applies because the rule is that a minus times
a plus gives a minus answer. (A plus times a plus gives a plus answer, and a minus times a
minus also gives a plus answer.)
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After the multiplication the problem becomes:
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3x + 10x - 6
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Now you can combine the two terms that contain x. In this case they are both positive
so the addition is just 3x + 10x = 13x and the problem is:
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13x - 6
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That's it. You can't simplify this any further, so the answer is 13x - 6.
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Hope this helps you to see your way through the problem.
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