remember, you can do anything to an equation as long as you do it to both sides
0.6x-10=1.4x-(-14)
and minusing a negative means adding
0.6x-10=1.4x+14
minus 0.6x from both sides
0.6x-0.6x-10=1.4x-0.6x+14
0-10=0.8x+14
-10=0.8x+14
minus 14 both sides
-14-10=0.8x+14-14
-24=0.8x+0
-24=0.8x
multily both sides by 10
-240=8x
divide both sides by 8
-240/8=(8x/8)
-30=(8/8)x
-30=1x
-30=x
x=-30