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

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

• A. x = 6
• B. x = 5
• C. x = 8
• D. x = 11

Answer: (C)

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.

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.