Hirotoshi solved the equation 6-4|2x-8|=-10 there is 2 solutions

For |a|=b solve for a such that a=b or a=-b

6-4|2x-8|=-10

minus 6 both sides

-4|2x-8|=-16

divide both sides by - 4

|2x-8|=4

solve

2x-8=4 and 2x-8=-4

add 8 to both sides of both equations

2x=12 and 2x=4

divide both sides by 2

x=6 and x=2

x=2 or 6