How do you determine the value of x in the equation 2(x - 1) = 12?

To determine the value of ( x ) in the equation ( 2(x - 1) = 12 ), you begin by isolating the term with ( x ).

First, you'll divide both sides of the equation by 2 to simplify it. This gives you:

[

x - 1 = \frac{12}{2}

]

Simplifying the right side, you get:

[

x - 1 = 6

]

Next, to solve for ( x ), you need to add 1 to both sides. This results in:

[

x = 6 + 1

]

Thus, adding these values gives:

[

x = 7

]

Therefore, the correct value of ( x ) in the equation ( 2(x - 1) = 12 ) is indeed 7. This process highlights the steps taken to manipulate the equation properly, ensuring that the variable is isolated and solved logically.