|-2x| + 4 - |-x| = 9

Simplify it further:

-2x + 4 - x = 9

Combine like terms:

-3x + 4 = 9

Subtract 4 from both sides:

-3x = 5

Divide by -3:

x = -5/3

So the solution to the equation is x = -5/3.