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The work of a student to solve the equation 4(3x − 4) = 8 + 4x + 8 is shown below: Step 1. 4(3x − 4) = 8 + 4x + 8 Step 2. 7x − 8 = 16 + 4x Step 3. 7x − 4x = 16 + 8 Step 4. 3x = 24 Step 5. x = 8 In which step did the student first make an error and what is the correct step? (1 point) a Step 2, 12x − 16 = 16 + 4x b Step 2, 12x − 8 = 2(4 + 2x + 4) c Step 3, 7x − 4x = 16 − 8 d Step 3, 7x + 4x = 16 + 8
Answer: Step 2, and correct would be a) Step 2, 12x − 16 = 16 + 4x
Step-by-step explanation:
Step 1. 4(3x − 4) = 8 + 4x + 8
Step 2. 7x − 8 = 16 + 4x
Step 3. 7x − 4x = 16 + 8
Step 4. 3x = 24
Step 5. x = 8
The student first make an error in Step 2, it should be 4 multiply the number inside the parentheses, which would be 4(3x) + 4(-4) = 8 + 4x + 8. We get 12x - 16 = 16 + 4x, which is choice a.
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