Final answer:
The equation 2 = 7/2(5x + 6) is solved by initially multiplying both sides by 2, simplifying, and then isolating x to find that x = -38 / 35, which does not match the given answer choices. This suggests a potential error in the choices or the question itself.
Step-by-step explanation:
To solve the equation 2 = 7/2(5x + 6) for x in its simplest form, we first need to clear the fraction by multiplying both sides of the equation by the denominator, which is 2.
Step 1: Multiply both sides by 2 to get rid of the fraction:
2 * 2 = 7(5x + 6).
Step 2: Simplify both sides:
4 = 35x + 42.
Step 3: Subtract 42 from both sides:
4 - 42 = 35x
-38 = 35x.
Step 4: Divide both sides by 35 to solve for x:
x = -38 / 35
x = -1.0857...
This result does not match any of the answer choices given. It seems there may be a mistake either in the provided choices or in the interpretation of the equation. We need to eliminate terms wherever possible to simplify the algebra and check the answer to see if it is reasonable.