Final answer:
The solution to the equation x-12=36 is found by adding 12 to both sides, resulting in x = 48.
Step-by-step explanation:
To solve the equation x - 12 = 36, algebraic manipulations are employed to isolate the variable x. By adding 12 to both sides, the -12 on the left is canceled out, yielding x = 36 + 12. The next step involves computing the sum on the right side, resulting in x = 48. This process adheres to the fundamental principle of maintaining equation balance through symmetrical operations. The solution, x = 48, denotes the value that satisfies the original equation. This method of algebraic manipulation serves as a foundational approach, applicable to a broad range of equations, providing a systematic means to ascertain the unknown variable's value in mathematical problem-solving.