Question

How do you solve `(x - 3) - 5x = - 3( x + 3)`?

Answer 1

By arranging the equation

Explanation:

Get rid of the parantheses:

`x-3-5x = -3x - 9`

`-4x - 3 = -3x -9`

`-4x + 3x = -9 + 3`

`-x = -6`

`x=6`

This is your answer `x=6`

Answer 2

`x=6`

Explanation:

`"distribute brackets on both sides of the equation"`

`x-3-5x=-3x-9`

`rArr-4x-3=-3x-9`

`"add 3x to both sides"`

`-4x+3x-3=cancel(-3x)cancel(+3x)-9`

`rArr-x-3=-9`

`"add 3 to both sides"`

`-xcancel(-3)cancel(+3)=-9+3`

`rArr-x=-6`

`"multiply both sides by "-1`

`rArrx=6`

`color(blue)"As a check"`

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

`"left "=6-3-(5xx6)=3-30=-27`

`"right "=-3(6+3)=-3xx9=-27`

`rArrx=6" is the solution"`