SOLUTION: A word problem is expressed as 3(2n+1)=2(2n+3)+5. This implies 6n+3=4n+6+5. The next step given as the solution eludes me as to how they came up with it. How does that turn into

Algebra.Com
Question 1052103: A word problem is expressed as 3(2n+1)=2(2n+3)+5.
This implies 6n+3=4n+6+5. The next step given as the solution eludes me as to how they came up with it. How does that turn into 2n=8 (and thus n=4)? I would appreciate an explanation here. Thank you!
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
The equation looks like it comes from consecutive odd integers. Three times the first odd integer is five more than two times the next odd integer. Find n and you can evaluate the two integers.


, distributive property;

, maybe a step you should have seen to do but did not;






The numbers are 9 and 11.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

A word problem is expressed as 3(2n+1)=2(2n+3)+5.
This implies 6n+3=4n+6+5. The next step given as the solution eludes me as to how they came up with it. How does that turn into 2n=8 (and thus n=4)? I would appreciate an explanation here. Thank you!
3(2n + 1) = 2(2n + 3) + 5

  6n + 3 = 4n + 6 + 5 <==== This is where you are 

  6n + 3 = 4n + 11 -------- COMBINING like-terms + 6 and + 5 on right side

- 4n     - 4n ------------- Subtracting 4n from both sides in order to MOVE 4n to left side of equals sign, and subsequently ISOLATE n

  2n + 3 = 11 

     - 3  - 3 ------------- Subtracting 3 from both sides in order to MOVE 3 to right side of equals sign

  2n = 8

    

RELATED QUESTIONS


2n+3+4n=2n+5+4n-2 (answered by edjones)

2n+3+4n=2n+5+4n-2 (answered by drj)

what is the solution of... (answered by Fombitz)

What is the solution of:... (answered by MathLover1)

Can you please help me find the first five terms of the sequences with the nth term given  (answered by Fombitz)

what is the expression(2m^2n)3/2 in radical form 

1.)3sqrt4m^2n^2
2.)sqrt2m^6n^3... (answered by Boreal)

I would like some assistance with 2 word problems please.  I have tried each one about... (answered by venugopalramana,Earlsdon)

(2n + 3) (6n^2 - 2n +... (answered by rfer)

4n + 3 = 5(2 –... (answered by kkasko)