What is the solution for x in the equation 4(x - 1) = 8?

To find the solution for x in the equation 4(x - 1) = 8, we first need to isolate the variable x.

Start by distributing the 4 on the left side of the equation:

4(x - 1) = 8

4x - 4 = 8

Next, we add 4 to both sides to eliminate the -4:

4x - 4 + 4 = 8 + 4

4x = 12

Now, divide both sides by 4 to solve for x:

4x / 4 = 12 / 4

x = 3

This shows that x equals 3. The solution is correct because we followed each step logically, ensuring the equation remained balanced while isolating the variable. Thus, the correct answer is 3.