Question

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

Answer 1

`(2)/(7)(14-28x)=20\qquad\text{use distributive property}\\\\(2)/(7)\cdot14-(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}`

Answer 2

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