Question

Jeremy solves the following equation:

6(2x−6)−9x=15. What is the value of x?
a) x=4
b) x=6
c) x=−4
d) x=−6

Answer 1

After distributing the 6 into the parentheses and simplifying, we find that the equation 6(2x-6) - 9x = 15 yields x = 17 when solved. This result is not in the given options, indicating a possible error in the question.

Step-by-step explanation:

Jeremy is solving the equation 6(2x−6)−9x=15. The goal is to find the value of x. To solve for x, we first expand and simplify the equation, and then proceed to isolate x.

Let's solve the equation step-by-step:

1. Distribute the 6 into the parentheses: 12x - 36 - 9x = 15.
2. Combine like terms: 3x - 36 = 15.
3. Add 36 to both sides: 3x = 51.
4. Divide both sides by 3: x = 17.

Therefore, the value of x is 17, which is not among the options provided in the question. There might have been a typo or mistake in the options given.