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2(x + 5) = 5x + 20;  solve for x

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monifahhylton | Student, College Freshman | eNoter

Posted September 26, 2012 at 11:36 AM via web

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2(x + 5) = 5x + 20;  solve for x

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mjripalda | High School Teacher | (Level 3) Educator

Posted September 26, 2012 at 12:26 PM (Answer #1)

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     `2(x+5)=5x+20`

To start, distribute 2 to x+5.

    `2x+2*5=5x+20`

      `2x+10=5x+20`

Then, bring together the terms with x on one side of the equation.To do so, perform opposite operation.

     `2x+10=5x+20`

   `-2x`          ` -2x`

  `---------------`

       `0 + 10 = 3x+20`

            `10 = 3x+20 `    

Also, bring together the terms without x.

            `10 = 3x+20`

        `-20`         ` -20`

   `---------------`

         `-10=3x + 0`

         `-10=3x`

 Then, isolate x. Move 3 to the right side. To do so, perform opposite operation.

         `-10/3=(3x)/3`

         `-10/3=x`

Hence, `x=-10/3` . 

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noizmeka | Student, Undergraduate | eNoter

Posted September 26, 2012 at 12:01 PM (Answer #2)

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-10/3

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salonigaba | Student, Grade 11 | Salutatorian

Posted September 27, 2012 at 12:20 PM (Answer #5)

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2(x + 5) = 5x + 20

 

2x+10-5x-20=0

-3x-10=-3x=10=x=-10/3

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