Final answer:
To solve the equation 1/2x - 5 = 10 - 3/4x, combine like terms and isolate the variable x.
Step-by-step explanation:
To solve the equation 1/2x - 5 = 10 - 3/4x, we can start by combining like terms. Add 3/4x to both sides of the equation to get 1/2x + 3/4x - 5 = 10. This simplifies to 5/4x - 5 = 10. Next, we can isolate the variable by adding 5 to both sides of the equation, resulting in 5/4x = 15. Finally, we can solve for x by multiplying both sides of the equation by 4/5, giving us x = 12.