Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)

Rationale

X equals 90.

To solve the equation 2X + 90 = 270, we first isolate X by subtracting 90 from both sides, yielding 2X = 180. Dividing both sides by 2 results in X = 90, which is the correct solution.

A (90) CORRECT

This choice is the solution derived from the equation. By following the steps to isolate X, we find that 90 is indeed the correct value, as substituting it back into the original equation confirms the equality holds true.

B (80) YOUR ANSWER

Choosing 80 implies that 2X would equal 160 (since 2 * 80 = 160). If we substitute this back into the original equation, we find: 160 + 90 = 250, which does not equal 270. Therefore, this choice is incorrect.

C (75) YOUR ANSWER

If we assume X is 75, then 2X would equal 150 (because 2 * 75 = 150). Substituting this into the equation gives us 150 + 90 = 240, which again does not equal 270, making this choice incorrect as well.

D (100) YOUR ANSWER

Selecting 100 means that 2X would equal 200 (as 2 * 100 = 200). Plugging this back into the original equation results in 200 + 90 = 290, which is greater than 270. Hence, this choice is also incorrect.

Conclusion

The solution to the equation 2X + 90 = 270 is X = 90, as confirmed through proper algebraic manipulation. The other options do not satisfy the equation when substituted, reinforcing the uniqueness of the correct answer. Thus, 90 is the only valid solution consistent with the original equation's requirements.

Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)

X equals 90.

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