Answer:
Solving equations you always want to get the variable by itself
First distribute 1/2 to 8x-4 ( divide 8x-4 in half to get 4x-2)
Your equation is now 4x-2-3x+20=3x+38
Lets combine like terms on both sides
4x-3x-2+20=3x+38 (4x-3x=x) (-2+20=18)
x+18=3x+38 now lets get x on one side
x=3x+20 (minus 18 from each side, 18-18=0, 38-18=20)
-2x=20 (minus 3x from each side, 3x-3x=0, x-3x=-2x)
x=-10 (divide each side by -2, -2/-2=1, 20/-2=-10)
Your final answer is x=-10
Hope this helps ;)