Question 2

The value of x in the equation 4(x - 3) = 8 - x is 4.

To solve for x, we can simplify the equation. Distributing the 4 gives us 4x - 12 = 8 - x. Adding x to both sides and 12 to both sides leads us to 5x = 20, resulting in x = 4.

A) 2

This option is incorrect. If we substitute x with 2 in the equation, we have 4(2 - 3) = 8 - 2, which simplifies to -4 = 6, a false statement.

B) 3

This option is also incorrect. Substituting x with 3 gives us 4(3 - 3) = 8 - 3, simplifying to 0 = 5, which is not true.

C) 4

This option is correct. Substituting x with 4 in the original equation results in 4(4 - 3) = 8 - 4, simplifying to 4 = 4, which is true.

D) 5

This option is incorrect as well. If we substitute x with 5, we find 4(5 - 3) = 8 - 5, which simplifies to 8 = 3, a false statement.

Conclusion

The correct answer is 4, as substituting this value into the original equation holds true. All other options fail to satisfy the equation, demonstrating that they are not valid solutions. This reinforces the importance of correctly manipulating and solving algebraic equations to find accurate values.