Determine the solution to the following equation.

Question

6-3(x-4)=2x-12

Enter your answer in the box. Enter only the number that represents the solution to the equation.

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Answer 1

To solve the equation \( 6 - 3(x - 4) = 2x - 12 \), we can follow these steps:

1. Distribute the \(-3\) on the left side: \[ 6 - 3x + 12 = 2x - 12 \]

2. Simplify the left side: \[ 18 - 3x = 2x - 12 \]

3. Add \(3x\) to both sides: \[ 18 = 5x - 12 \]

4. Add \(12\) to both sides: \[ 30 = 5x \]

5. Divide both sides by \(5\): \[ x = 6 \]

Thus, the solution to the equation is: \[ \boxed{6} \]