Solve for x in the equation: 2(x - 4) = 10. What is the value of x?

Solve for x in the equation: 2(x - 4) = 10. What is the value of x?

• A. 3
• B. 5
• C. 7
• D. 9

Answer: (D)

To solve the equation 2(x - 4) = 10, the first step is to eliminate the coefficient in front of the parentheses by dividing both sides of the equation by 2. This simplifies to x - 4 = 5. Next, to isolate x, we need to get rid of the -4. This can be accomplished by adding 4 to both sides of the equation. Thus, we have x - 4 + 4 = 5 + 4, leading to the result x = 9. Therefore, the value of x that satisfies the equation is 9. This solution process involves basic properties of equality, including distribution and combining like terms, which are foundational concepts in algebra.

To solve the equation 2(x - 4) = 10, the first step is to eliminate the coefficient in front of the parentheses by dividing both sides of the equation by 2. This simplifies to x - 4 = 5.

Next, to isolate x, we need to get rid of the -4. This can be accomplished by adding 4 to both sides of the equation. Thus, we have x - 4 + 4 = 5 + 4, leading to the result x = 9.

Therefore, the value of x that satisfies the equation is 9. This solution process involves basic properties of equality, including distribution and combining like terms, which are foundational concepts in algebra.