Solve for x: 3x - 12 = 2x + 48

Rationale

60 is the solution for the equation 3x - 12 = 2x + 48.

To find the value of x, we can start by subtracting 2x from both sides of the equation to get x - 12 = 48. Then, we can add 12 to both sides of the equation to solve for x, which gives us x = 60.

A (60) CORRECT

60 is the correct solution. When substituting x with 60 in the original equation, we get 3*60 - 12 = 2*60 + 48, which simplifies to 180 - 12 = 120 + 48, and finally to 168 = 168, confirming that 60 is indeed the correct solution.

B (36) YOUR ANSWER

If we substitute x with 36 in the equation, we get 3*36 - 12 = 2*36 + 48, which simplifies to 108 - 12 = 72 + 48, and finally to 96 ≠ 120. Therefore, 36 is not the solution to the equation.

C (-12) YOUR ANSWER

Substituting x with -12 in the equation, we get 3*-12 - 12 = 2*-12 + 48, which simplifies to -36 - 12 = -24 + 48, and finally to -48 ≠ 24. Hence, -12 is not the solution to the equation.

D (12) YOUR ANSWER

If we substitute x with 12 in the equation, we get 3*12 - 12 = 2*12 + 48, which simplifies to 36 - 12 = 24 + 48, and finally to 24 ≠ 72. So, 12 is not the solution to the equation.

Conclusion

In solving for x in the equation 3x - 12 = 2x + 48, we perform a series of operations to isolate x on one side of the equation. Substituting the resulting solution, x = 60, into the original equation verifies its correctness. The other choices, 36, -12, and 12, do not satisfy the equation when substituted for x. Therefore, the correct solution is x = 60.

Solve for x: 3x - 12 = 2x + 48

60 is the solution for the equation 3x - 12 = 2x + 48.

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