Answer:
x = 16/5
Step-by-step explanation:
(x-2)= -1/4(x-8)
Multiply each side by -4 to clear the fraction
-4 (x-2) = -4*-1/4 (x-8)
Distribute
-4x+8 = x-8
Add 4x to each side
-4x+4x+8 = x+4x-8
8 = 5x-8
Add 8 to each side
8+8 = 5x-8+8
16 = 5x
Divide each side by 5
16/5 = 5x/5
16/5 =x
