Question

How do you solve `-2 ( 2 x - 6 ) = 4 x`?

Answer 1

`x=3/2`

Explanation:

`"distribute the parenthesis on the left side"`

`-4x+12=4x`

`"add 4x to both sides"`

`cancel(-4x)cancel(+4x)+12=4x+4x`

`rArr8x=12larr" reversing equation"`

`"divide both sides by 8"`

`(cancel(8) x)/cancel(8)=12/8`

`rArrx=12/8=3/2`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=-2(3-6)=-2xx-3=6`

`"right "=4xx3/2=6`

`rArrx=3/2" is the solution"`