SOLUTION: I think i know the answer to the problem, but would like to know how to check it. Maybe you can help. 4(5-2b)+3(2b-10)=7(b+2) breakdown: 20-8b+6b-30=7b+14 14b+50=7

Algebra ->  Algebra  -> Distributive-associative-commutative-properties -> SOLUTION: I think i know the answer to the problem, but would like to know how to check it. Maybe you can help. 4(5-2b)+3(2b-10)=7(b+2) breakdown: 20-8b+6b-30=7b+14 14b+50=7      Log On

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Question 76843: I think i know the answer to the problem, but would like to know how to check it. Maybe you can help.
4(5-2b)+3(2b-10)=7(b+2)
breakdown: 20-8b+6b-30=7b+14
14b+50=7b+14
-7b -7b
7b+50=14
-50 -50
7b/7=-36/7
Distributive property, combine like terms, -50 from both sides. Check this and send me the breakdown check solution. Thank you.
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
4(5-2b)+3(2b-10)=7(b+2)
breakdown: 20-8b+6b-30=7b+14
14b+50=7b+14 <---here are your mistakes -8b+6b=-2b not 14b. 20-30=-10
-7b -7b
7b+50=14
-50 -50
7b/7=-36/7
:
4%285-2b%29%2B3%282b-10%29=7%28b%2B2%29
20-8b%2B6b-30=7b%2B14
-2b-10=7b%2B14
-2b%2B2b-10=7b%2B2b%2B14
-10=9b%2B14
-10-14=9b%2B14-14
-24=9b
-24%2F9=9b%2F9
-8%2F3=b
highlight%28b=-8%2F3%29
:
Check by letting b=-8/3 and see if the sides equal
4%285-2%28-8%2F3%29%29%2B3%282%28-8%2F3%29-10%29=7%28-8%2F3%2B2%29
4%285%283%2F3%29%2B16%2F3%29%2B3%28-16%2F3-10%283%2F3%29%29=7%28-8%2F3%2B2%283%2F3%29%29
4%2815%2F3%2B16%2F3%29%2B3%28-16%2F3-30%2F3%29=7%28-8%2F3%2B6%2F3%29
4%2831%2F3%29%2B3%28-46%2F3%29=7%28-2%2F3%29
124%2F3-138%2F3=-14%2F3
-14%2F3=-14%2F3 We're right!!!
Happy Calculating!!!