Final answer:
The solution to the equation 3(x - 2) = 5x + 12 is x = -9.
Step-by-step explanation:
To solve the equation 3(x - 2) = 5x + 12, we need to simplify and isolate the variable x. Here are the steps:
- Distribute the 3 to the terms inside the parentheses: 3x - 6 = 5x + 12
- Combine like terms by subtracting 3x from both sides of the equation: -6 = 2x + 12
- Subtract 12 from both sides to further isolate the variable: -18 = 2x
- Finally, divide both sides by 2 to solve for x: x = -9
Therefore, the solution to the equation is x = -9.