What is the value of x in the equation: 2(x - 3) = 10?

To solve the equation ( 2(x - 3) = 10 ), start by applying the distributive property. This involves multiplying the 2 by both terms inside the parentheses:

[

2(x) - 2(3) = 10

]

This simplifies to:

[

2x - 6 = 10

]

Next, isolate ( 2x ) by adding 6 to both sides of the equation:

[

2x - 6 + 6 = 10 + 6

]

This results in:

[

2x = 16

]

Now, to solve for ( x ), divide both sides by 2:

[

\frac{2x}{2} = \frac{16}{2}

]

This simplifies to:

[

x = 8

]

Therefore, the value of ( x ) is 8, which is the correct answer. This means that in the context of the problem, the steps taken lead to the conclusion that when you distribute, combine like terms, and isolate ( x ), you arrive at the correct solution.