Question

Solve for x.

3 + 3x = 12 + x

A. x = 9/2
B. x = 15/4
C. x = 5/4
D. x = 5/2

Answer 1

To solve the equation 3 + 3x = 12 + x, isolate x on one side and simplify the equation step by step. The solution is x = 9/2, which is answer choice A.

Step-by-step explanation:

To solve for x in the equation 3 + 3x = 12 + x, you need to isolate the variable x on one side of the equation. Here are the steps to solve the equation:

1. Subtract x from both sides to get rid of x on the right side of the equation: 3 + 3x - x = 12 + x - x.
2. This simplifies to 3 + 2x = 12.
3. Subtract 3 from both sides to get the terms with x on one side and the constants on the other: 2x = 12 - 3.
4. This simplifies to 2x = 9.
5. Divide both sides by 2 to solve for x: x = 9/2.

Therefore, the solution to the equation is x = 9/2, which corresponds to answer choice A.