Answer: x=60
Steps:
First, distribute the 1/2
1/2x + 5 = 2/3x -5
Next, move all the like variables to one side by subtracting 2/3x from both sides.
-1/6x + 5 = -5
Subtract 5 from both sides
-1/6x = -10
Isolate the c by dividing both sides by -1/6
x=60