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Solve for x in the equation 4x + 2 = 8x - 5.

  1. -3/2

  2. -1/2

  3. 1/2

  4. 3/2

The correct answer is: 3/2

To solve for x in this equation, we need to rearrange it so that all the x terms are on one side and the constant terms are on the other side. In this case, we can subtract 4x from both sides and add 5 to both sides. This gives us 2 = 4x - 8x - 5 Simplifying this, we get: 2 = -4x - 5 Now, we can add 5 to both sides to isolate the x term: 7 = -4x Finally, dividing both sides by -4, we get: x = -7/4. Therefore, the correct answer is D: 3/2. The other options are incorrect because they do not correctly solve the equation. A, B, and C are all negative values and do not