It is possible to find the value of the unknown variable "x" as there is one single equation and one unknown variable. The step by step deduction is given below for your understanding.
1/2x + 10 = 1/4x + 54
(1/2x) - (1/4x) = 54 - 10
(2 - 1)/4x = 44
1/4x = 44
1/x = 44 * 4
1/x = 176
x = 1/176
The value of the unknown variable "x" comes out to be 1/176. I hope the procedure is clear enough for you to understand. Observe the final calculation part.