If (x+2)/3=(2x-1)/4 then x=

Rationale

x equals 5 1/2.

By solving the equation (x+2)/3 = (2x-1)/4, we find that the value of x is 5 1/2, which can also be expressed as 11/2 in improper fraction form.

A (1 1/2) YOUR ANSWER

This value can be represented as 3/2. If we substitute x = 3/2 into the original equation, we find that (3/2 + 2)/3 does not equal (2(3/2) - 1)/4, leading to an incorrect solution.

B (2 1/2) YOUR ANSWER

This value is equivalent to 5/2. Substituting x = 5/2 into the equation results in (5/2 + 2)/3 not equating to (2(5/2) - 1)/4, thus failing to satisfy the original equality.

C (4 1/2) YOUR ANSWER

This option translates to 9/2. Upon substitution into the equation, (9/2 + 2)/3 does not equal (2(9/2) - 1)/4, indicating that this is not a valid solution to the equation.

D (5 1/2) CORRECT

This value simplifies to 11/2. Substituting x = 11/2 into the original equation yields (11/2 + 2)/3 = (2(11/2) - 1)/4, which confirms that both sides are equal, making it the correct solution.

Conclusion

The solution to the equation (x+2)/3 = (2x-1)/4 is x = 5 1/2. The other choices do not satisfy the original equation when substituted, confirming that only the value of 5 1/2 holds true as a correct answer. This process emphasizes the importance of verifying potential solutions within the context of the original mathematical equation.

If (x+2)/3=(2x-1)/4 then x=

x equals 5 1/2.

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