To solve for x in the given equation:

X + (x+10) + 4/5(2x+10) = 90
X + x + 10 + 4/5(2x) + 4/5(10) = 90
X + x + 10 + 8/5x + 8 = 90
Combining like terms:
1X + 1x + 8/5x + 10 + 8 = 90
(5/5)x + (5/5)x + (8/5)x + 18 = 90
(18/5)x + 18 = 90
(18/5)x = 72
x = 72 * 5 / 18
x = 20

Therefore, the value of x that satisfies the given equation is x = 20.