Final answer:
To solve the equation 3x + 5 = 20, subtract 5 from both sides to get 3x = 15 and then divide by 3 to find x = 5. Thus, the correct answer is option A) 5.
Step-by-step explanation:
The solution to the algebraic equation 3x + 5 = 20 involves isolating the variable x. This can be accomplished through a series of algebraic steps commonly covered in high school mathematics. To solve for x, follow these steps:
- Subtract 5 from both sides of the equation to get 3x = 15.
- Divide both sides of the equation by 3 to isolate x, resulting in x = 5.
By following these steps, we determine the solution to the equation is x = 5, which corresponds to option A.
Explanation of the Correct Option
In the final answer, the correct option is A) 5. The process utilized to solve the equation showcases the application of basic algebraic principles, such as the additive inverse and the multiplicative inverse, to isolate and solve for the unknown variable.