Answer:
To solve for x, we need to isolate x on one side of the equation.
First, we can start by subtracting 2 1/4 from both sides of the equation:
5 1/6x = 10 - 2 1/4
5 1/6x = 7 3/4
Next, we can simplify the left side of the equation by multiplying the whole equation by the reciprocal of 5 1/6, which is 6/31:
(6/31) * 5 1/6x = (6/31) * 7 3/4
x = 3/2
Therefore, the value of x in the equation is 3/2.