Question

Solve for x: 2/7 (x - 2) = 4x
(9th grade algebra 1)

Answer 1

x = -2/13

Explanation:

`(2)/(7)(x-2) = 4x\\\\Multiply \ both \ sides \ by \ 7 \\\\\\7*(2)/(7)(x-2)=4x*7\\\\\\2(x -2)= 28x\\Divide \ both \ sides \ by \ 2\\\\(2(x-2))/(2)=(28x)/(2)\\\\\\x - 2 = 14x\\\\\\`

Subtract 'x' from both sides

-2 = 14x - x

-2 = 13x

Divide both sides by 13

-2/13 = x

x = -2/13

Answer 2

`x = - (2)/(13)`

Explanation:

`(2)/(7) (x - 2) = 4x`

`= > (2)/(7) x - (4)/(7) = 4x`

`= > (2)/(7) x - 4x = (4)/(7)`

`= > (2x - 28x)/(7) = (4)/(7)`

`= > ( - 26)/(7) x = (4)/(7)`

`= > x = (4)/(7) * (7)/( - 26)`

`= > x = (4)/( - 26)`

`= > x = ( - 2)/(13) (ans)`