SOLUTION: ok my problem is 5k -(3k-10). I have the answer ive gotten that part. My question is why is it +10 not -10 cause 5k - 3k is 2k so i would think the problem would be 2k-10 but its s

Question 723811: ok my problem is 5k -(3k-10). I have the answer ive gotten that part. My question is why is it +10 not -10 cause 5k - 3k is 2k so i would think the problem would be 2k-10 but its saying 2k+10 why did it change?
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
What were you given, exactly? Use grouping symbols when they are present. They tell you what expression is a quantity separate from other quantities.

3k-10 means 3k+(-10).
Q+3k-10 means Q+3k-10, or Q+3k+(-10).
Q-3k-10 means Q-3k-10, or Q+(-3k)+(-10).
Q-(3k-10) means Q + -(3k-10). Use the grouping symbols to see the minus sign applies to THE ENTIRE GROUPED EXPRESSION. Q-(3k-10)=Q+-(3k+-10)=Q+-3k+-(-10))=Q-3k+10.

Most of the time, people read the expression or flow of an equation and will make the statement, Q-(3k-10)=Q-3k+10, all in one single written step.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
5k -(3k-10)

is the same as

5k -1(3k-10)

----------------------------

5k -(3k-10)

5k -1(3k-10)

5k -1(3k)-1(-10) ... distribute (remember to distribute the -1 to EVERY term inside the parenthesis)

5k - 3k + 10

2k + 10

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