When solving the problem 7x+2=73x−8 , your fiend does the following: 7(x)+2=7(3x)−8 7x+2=21x−8 10=14x x=57 Was this correct? (1 point) Responses Yes, this is correct. No error was made. Yes, this is correct. No error was made. This is not correct. The 7 needs to be distributed across all terms when solving. This is not correct. The 7 needs to be distributed across all terms when solving. This is not correct. When the bases are the same, then we can set the exponents equal to each other and solve that equation. This is not correct. When the bases are the same, then we can set the exponents equal to each other and solve that equation. This is not correct. Both sides should be divided by 7 instead of multiplied by 7. This is not correct. Both sides should be divided by 7 instead of multiplied by 7.

Answer 1

Let's go through your friend's steps to identify any errors in solving the equation \( 7x + 2 = 73x - 8 \):

1. Starting Equation:
   \( 7x + 2 = 73x - 8 \)

2. Their Step:
   \( 7(x) + 2 = 7(3x) - 8 \)

   Here, your friend wrongly rewrote \( 73x \) as \( 7(3x) \). The correct expression is \( 73x \), which does not factor into \( 7(3x) \).

3. Continuing with: \( 7x + 2 = 21x - 8 \)
   This step is also incorrect due to the previous mistake.

4. Resulting Equation: \( 10 = 14x \)
   This also is incorrect as it builds on the previous flawed calculations.

5. Final Calculation: \( x = 57 \)
   Because the earlier steps were incorrect, this solution is not valid.

In summary, the process followed by your friend contains a mistake in factorization and distribution at the second step. Therefore, the correct response is:

This is not correct. The 7 needs to be distributed across all terms when solving.