2x - 6 ≥ 6 (x - 2) + 8

2x - 6 ≥ 6 (x - 2) + 8

2x - 6 ≥ 6x - 12 + 8

2x - 6 ≥ 6x - 4

-6 - 6

2x ≥ 6x - 10

-6x - 6x

-4x ≥ - 10

x < 2/5

2x - 6 > 6 (x - 2) + 8

use the distrubutive property

2x - 6 > 6x - 12 + 8

combine like terms

2x - 6 > 6x - 4

get "x" on one side by subtracting 6x from both sides

-4x - 6 > - 4

add 6 to both sides so that you have x on one and actual numbers on the other

-4x > 2

divide both sides by - 4, and don't forget to flip the sign because you are dividing by a negative!

x < - 0.5 or x < - 1/2