# Need some math help

**URL:** <https://boards.straightdope.com/t/need-some-math-help/361371>\
**Category:** Factual Questions\
**Created:** [June 20, 2006, 1:09am UTC](https://boards.straightdope.com/t/need-some-math-help/361371 "2006-06-20T01:09:04Z")\
**Posts on this page:** 6\
**Page:** 1

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**Author:** ![Whack-a-Mole](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/whack-a-mole/32/141_2.png) [@Whack-a-Mole](https://boards.straightdope.com/u/Whack-a-Mole)\
**Post date:** [June 20, 2006, 1:09am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/1 "2006-06-20T01:09:04Z")

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Ok, this is homework related but not my homework. My nephew is asking for help and while I think I should know this it has been so long much past basic arithmetic eludes me. Wanting to be a cool uncle I am looking for help here. Any explanation you might give would be great. I can see what x should be but I am looking for the way to properly show the process here.

Solve for x:

5(7-2x)=20

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**Author:** ![John\_Mace](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/john_mace/32/185_2.png) [@John\_Mace](https://boards.straightdope.com/u/John_Mace)\
**Post date:** [June 20, 2006, 1:11am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/2 "2006-06-20T01:11:36Z")

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5(7-2x)=20

35 -20x = 20 [subtract 35 froim both sides]  
-20x= -15 [divide both sides by -20]  
x =15/20 = .75

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**Author:** ![tremorviolet](https://avatars.discourse-cdn.com/v4/letter/t/e47774/32.png) [@tremorviolet](https://boards.straightdope.com/u/tremorviolet)\
**Post date:** [June 20, 2006, 1:15am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/3 "2006-06-20T01:15:37Z")

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5(7-2x)=20

Step by step:

Distribute the 5 to get:

5_7 - 5_2x = 20

35 - 10x = 20

Subtract 35 from both sides:

35 - 10x - 35 = 20 - 35

-10x = -15

Multiply by -1:

(-1)(-10x) = (-1)(-15)

10x = 15

Divide by 10:

10x/10 = 15/10

x = 3/2 or 1 1/2

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**Author:** ![Campion](https://avatars.discourse-cdn.com/v4/letter/c/4491bb/32.png) [@Campion](https://boards.straightdope.com/u/Campion)\
**Post date:** [June 20, 2006, 1:18am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/4 "2006-06-20T01:18:25Z")

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I’d actually divide both sides by 5 first, giving you:

7-2x=4

Subtract 7 from both sides:  
-2x=-3

Solve for x by dividing both sides by -2:

x= 1.5

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**Author:** ![John\_Mace](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/john_mace/32/185_2.png) [@John\_Mace](https://boards.straightdope.com/u/John_Mace)\
**Post date:** [June 20, 2006, 1:21am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/5 "2006-06-20T01:21:23Z")

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> [@John Mace](#):
>
> 5(7-2x)=20
> 
> 35 -20x = 20 [subtract 35 froim both sides]  
> -20x= -15 [divide both sides by -20]  
> x =15/20 = .75

5x2 = 20? My bad. The others got it right.

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**Author:** ![Whack-a-Mole](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/whack-a-mole/32/141_2.png) [@Whack-a-Mole](https://boards.straightdope.com/u/Whack-a-Mole)\
**Post date:** [June 20, 2006, 1:26am UTC](https://boards.straightdope.com/t/need-some-math-help/361371/6 "2006-06-20T01:26:02Z")

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Thanks all.

I over complicated the problem in my head trying to do too many steps at once (don’t ask…dunno why myself).
