Equation with variables on both sides: 2/3b+5=20-b

spausm

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Dec 24, 2018
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Hi everyone I'm new on here. If anyone cares to answer...That will be awesome! I will continue to look for the answer as well.
This problem is from khan academy. (I am a adult, just reviewing for future qualifying test in my free time. So dont worry its not a real test.)
Equation: 2/3b+5=20-b

They say they are adding b to both sides: 2/3b+5+b=20-b+b getting: 5/3b+5=20....not sure how they got 5/3b.

Thanks in advanced. Happy holidays.
 

Otis

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Apr 22, 2015
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1,156
2/3b + 5 + b = 20 …

getting:

5/3b + 5 = 20

… not sure how they got 5/3b
The five-thirds b comes from combining the whole b and two-thirds b.

2/3∙b + b

Factor out b

(b)(2/3 + 1)

Combine 2/3 and 1. Do you know how to add a fraction and whole number? If not, let us know. (Hint: you need a common denominator, before doing addition or subtraction with a fraction.)

The result may be typed differently; everyone has their own preference.

5/3∙b = (b)(5/3) = 5b/3 = (5/3)(b) = (5/3)b ͏ ͏ ͏ ͏ :cool:
 
Last edited:

sinx

Junior Member
Joined
Mar 1, 2018
Messages
206
Hi everyone I'm new on here. If anyone cares to answer...That will be awesome! I will continue to look for the answer as well.
This problem is from khan academy. (I am a adult, just reviewing for future qualifying test in my free time. So dont worry its not a real test.)
Equation: 2/3b+5=20-b

They say they are adding b to both sides: 2/3b+5+b=20-b+b getting: 5/3b+5=20....not sure how they got 5/3b.

Thanks in advanced. Happy holidays.
1+2/3=5/3
 

Denis

Senior Member
Joined
Feb 17, 2004
Messages
1,442
Another "look":
1 = 3/3; ok?
so 3/3 + 2/3 = ?
 

spausm

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Dec 24, 2018
Messages
3
Thank you guys!
I guess I was just over thinking it. It was so obvious! 😊

have a merry Christmas!!!
 
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