Final answer:
To solve the equation (x - 3)/5 = (x + 3)/15, multiply both sides by 15, distribute and combine like terms, and finally divide by the coefficient of x to find that x = 6.
Step-by-step explanation:
To solve the equation (x - 3)/5 = (x + 3)/15, you can first multiply both sides by the common denominator, which is 15, to get rid of the fractions.
Step 1: Multiply both sides by 15.
15 * (x - 3)/5 = 15 * (x + 3)/15
Step 2: Simplify both sides.
3(x - 3) = (x + 3)
Step 3: Distribute the 3 on the left side.
3x - 9 = x + 3
Step 4: Get all x terms on one side by subtracting x from both sides.
2x - 9 = 3
Step 5: Add 9 to both sides to isolate the term with x.
2x = 12
Step 6: Divide by 2 to solve for x.
x = 6
This means the correct solution is not in the provided options, so there might be a mistake in the question or answer choices.