Question

How do you solve `-4( x - 2) - 8x = - 22- 10x + 30`?

Answer 1

`x=0`

Explanation:

`"distribute the bracket on the left side of the equation"`

`-4x+8-8x=-22-10x+30larrcolor(blue)"simplify both sides"`

`rArr-12x+8=-10x+8`

`"collect terms in x on the left and numeric values on the right"`

`"add 10x to both sides"`

`-12x+10x+8=cancel(-10x)cancel(+10x)+8`

`rArr-2x+8=8`

`"subtract 8 from both sides"`

`-2xcancel(+8)cancel(-8)=8-8`

`rArr-2x=0rArrx=0" is the solution"`