Solve - x + 2 < 3x - 6

-x+2<3x-6 subtract 2 from both sides

-x<3x-8 subtract 3x from both sides

-4x<-8 divide both sides by - 4 (and reverse sign because of division by a negative value!)

x>2

Remember you can do anything to an equation as long as you do it to both sides (and when mulitply or divide by a negative, flip sign)

-x+2<3x-6

add x both sides

2<4x-6

add 6 both sides

8<4x

divide by 4

2
x>2