Question

Determine the solution to the following equation.
6-3(x-4)=2x-12


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

​

ñ

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:
\[
\boxed{6}
\]