Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
Luca shows his work in finding the solution to 2 – 6x = 5 – 5(x – 1). After checking his answer in the original equation, he found that it did not work. Where did he make a mistake?
Step 1: He distributed incorrectly.
Step 2: He added 5x incorrectly.
Step 3: He simplified incorrectly.
Step 4: He subtracted 2 incorrectly.
Luca likely made a mistake in Step 1: He distributed incorrectly.
Here’s the correct approach to solving the equation:
1. Start with the equation:
(2 – 6x = 5 – 5(x – 1)).
2. Distribute ( -5 ) on the right side:
(2 – 6x = 5 – 5x + 5).
This simplifies to:
(2 – 6x = 10 – 5x).
3. Next, isolate the (x) terms by adding (6x) to both sides:
(2 = 10 + x).
4. Then, subtract (10) from both sides:
(2 – 10 = x)
which simplifies to:
(-8 = x).
Double-checking when you substitute back, both sides should balance. Make sure to carefully distribute and combine like terms in future problems! If you need more help, feel free to ask!