Could someone please help me find x in this problem and explain how you got the answer?
2(3x  1) = 5  (x + 3)
I checked the answer I got in the back of my algebra book and it said the answer was 4/7 but my answer was wrong. How did they get 4/7 out of this?
2(3x  1) = 5  (x + 3)
First get rid of the parentheses.
6x  2 = 5  x  3
Get all the numbers on one side and the x terms on the other.
6x + x = 5  3 + 2
Combine.
7x = 4
Now do you see how they got it?
I hope this helps. Thanks for asking.
Oooooooooh I gotcha. So whenever you have a minus/negative sign on the outside of the parentheses it just makes the entire the negative? So there isn't any distribution on that part...?
Yes, there is distribution...
2(x+y 3z)=2x2y+6z
Bob Pursley has explained it very well. I remember this by this rule: when a negative sign precedes the parentheses, simply change the sign of each sign inside the parentheses. In the case of nested parentheses, I work from the inside out. Remove the inner most set of parentheses (leaving the sign of each sign inside the set of parentheses as is if the preceding sign is + but changing each sign inside if the set is preceded by a negative sign). Then combine terms and repeat, removing the innermost set of parentheses and combining terms, etc. until all is finished.
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