Final answer:
The solution to the equation 5x − 18 = x/2 is x = 4.The equation 5x - 18 = x/2 is solved by multiplying by 2, subtracting x from both sides, and then dividing by 9, resulting in x=4, which is option B.
Step-by-step explanation:
The correct answer is option B. x = 4.
To solve the equation, we need to get all the x terms on one side and the constant terms on the other side. Let's start by subtracting x/2 from both sides:
5x − 18 - x/2 = 0
Simplifying the equation, we have:
10x − 36 − x = 0
Combining like terms, we get:
9x − 36 = 0
Next, we add 36 to both sides:
9x − 36 + 36 = 0 + 36
Which simplifies to:
9x = 36
Finally, divide both sides by 9 to solve for x:
9x/9 = 36/9
x = 4