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2/7 (x-3)= 1/4 [x-2/3+4]

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schooledmom | Salutatorian

Posted June 20, 2013 at 1:51 PM via web

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2/7 (x-3)= 1/4 [x-2/3+4]

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mvcdc | Student , Undergraduate | (Level 1) Associate Educator

Posted June 20, 2013 at 2:25 PM (Answer #1)

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We want to solve for x in:

`(2/7)*(x-3) = (1/4)*[x - 2/3 + 4]`

First, let's simplify the expression inside the bracket by getting:

`-2/3 + 4 = -2/3 + 12/3 = 10/3`

Hence, we have:

`(2/7)*(x-3) = (1/4)*(x + 10/3)` 

`(2*(x-3))/7 = (x + 10/3)/4`

`(2x - 6)/7 = (x+10/3)/4`

Then, we cross-multiply:

`4*(2x-6) = 7*(x + 10/3)`

`8x - 24 = 7x + 70/3`

` `  `8x - 7x = 70/3 + 24`

`x = 70/3 + 72/3 = 142/3 = 47 1/3`

Hence, x = `47 1/3`

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