What is the solution to the equation 3(x - 4) = 9?

To solve the equation 3(x - 4) = 9, start by isolating the term involving x. First, divide both sides of the equation by 3 to simplify it:

x - 4 = 3.

Next, to find the value of x, add 4 to both sides of the simplified equation:

x = 3 + 4, x = 7.

This means that the solution to the equation is 7. Verifying by substituting back into the original equation shows that when you replace x with 7, it holds true:

3(7 - 4) = 3(3) = 9.

Since both sides of the original equation equal 9, it confirms that the solution is indeed correct.