x:12 - x = 10:30

Solve for x.

then

x/(12-x) = 1/3
cross-multiply
3x = 12-x
4x = 12
x = 3

x = one hour thirty minutes?

To solve for x in the equation x:12 - x = 10:30, we need to simplify and isolate the variable.

Step 1: Convert 10:30 into decimal form
10:30 can be represented as 10 + 30/60 = 10.5 in decimal form.

Step 2: Rewrite the equation
x:12 - x = 10.5

Step 3: Distribute the division operation
x/12 - x = 10.5

Step 4: Combine like terms
Multiply the entire equation by 12 to get rid of the fraction:
12(x/12) - 12x = 12(10.5)
x - 12x = 126

Step 5: Simplify
-11x = 126

Step 6: Solve for x
Divide both sides of the equation by -11:
x = 126 / -11
x ≈ -11.4545

So, the solution for x is approximately -11.4545.