therealtaliyahh
therealtaliyahh therealtaliyahh
  • 25-11-2018
  • Mathematics
contestada

Solve the equation for x . 2/7 (14-28x)=20

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 25-11-2018

2/7 (14-28x)=20

multiply each side by 7/2 to get rid of the fraction

7/2*  2/7 (14-28x) = 7/2* 20

simplify

14-28x = 70

subtract 14 from each side

14-14 -28x = 70-14

-28x = 56

divide each side by -28

-28x/-28 = 56/-28

x= -2

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gmany
gmany gmany
  • 25-11-2018

[tex]\dfrac{2}{7}(14-28x)=20\qquad\text{use distributive property}\\\\\dfrac{2}{7}\cdot14-\dfrac{2}{7}\cdot28x=20\\\\2\cdot2-2\cdot4x=20\\\\4-8x=20\qquad\text{subtract 4 from both sides}\\\\-8x=16\qquad\text{divide both sides by (-8)}\\\\\boxed{x=-2}[/tex]

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