What is the value of \( x \) in the equation \( 2(x - 3) = 8 \)?

• A. 5
• B. 8
• C. 11
• D. 7

Answer: (D)

To find the value of ( x ) in the equation ( 2(x - 3) = 8 ), you first need to simplify and solve the equation step by step.

Start by distributing the 2 on the left side of the equation:

[ 2 \cdot (x - 3) = 2x - 6 ]

Now, rewrite the equation as:

[ 2x - 6 = 8 ]

Next, you want to isolate the term with ( x ). To do this, add 6 to both sides:

[ 2x - 6 + 6 = 8 + 6 ]

This simplifies to:

[ 2x = 14 ]

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

[ x = \frac{14}{2} ]

Thus, we find:

[ x = 7 ]

This means that the correct value for ( x ) is 7, which corresponds to the answer choice. By following these algebraic steps, you can see how the original equation is manipulated to lead to the solution efficiently. Each step plays a critical role in reaching the correct value, ensuring that the solution is both valid