What is the value of x in the following equation? 4(x - 3) = 8 - x

Rationale

x = 4.

To solve the equation 4(x - 3) = 8 - x, we can distribute and rearrange the terms to isolate x, ultimately finding that x equals 4.

A (2) YOUR ANSWER

If x were 2, substituting into the equation would yield 4(2 - 3) = 8 - 2, resulting in -4 = 6, which is not true. Therefore, this option does not satisfy the equation.

B (3) YOUR ANSWER

Substituting x = 3 into the equation gives 4(3 - 3) = 8 - 3, or 0 = 5, which is incorrect. Thus, this choice also fails to satisfy the equation.

C (4) CORRECT

When substituting x = 4, we have 4(4 - 3) = 8 - 4, leading to 4 = 4, which is a true statement. This confirms that x = 4 is indeed the solution to the equation.

D (5) YOUR ANSWER

If x were 5, substituting into the equation results in 4(5 - 3) = 8 - 5, giving 8 = 3, which is not correct. Therefore, this option does not satisfy the equation.

Conclusion

The solution to the equation 4(x - 3) = 8 - x is x = 4, as verified through substitution. The other choices, 2, 3, and 5, do not satisfy the equation when substituted, confirming that only option C is correct. This demonstrates the importance of careful algebraic manipulation and verification in solving equations.

What is the value of x in the following equation? 4(x - 3) = 8 - x

x = 4.

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