How do you solve the equation 2(x - 1) = 10?

To solve the equation 2(x - 1) = 10, you start by distributing the 2 on the left side of the equation. This gives you:

2 * (x - 1) = 2x - 2

Now, the equation is rewritten as:

2x - 2 = 10

Next, you need to isolate the term with the variable, which involves moving -2 to the other side of the equation. You do this by adding 2 to both sides:

2x - 2 + 2 = 10 + 2

2x = 12

Now, you have 2x = 12. To solve for x, divide both sides by 2:

x = 12 / 2

x = 6

This shows that the solution to the equation is indeed x = 6. The proper steps for solving a linear equation have been followed systematically, leading to the variable being isolated accurately.