The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8 Step 2: 6x − 8 = 16 + 2x Step 3: 6x − 2x = 16 + 8 Step 4: 4x = 24 Step 5: x = 6 In which step did the student first make an error and what is the correct step? Step 2; 8x − 4 = 2(6 + x + 6) Step 2; 8x − 16 = 16 + 2x Step 3; 6x − 2x = 16 − 8 Step 3; 6x + 2x = 16 + 8

Step-by-step explanation:Here, The work of a student to solve the equation :[tex]4(2x-4)=8+2x+8[/tex]The steps for calculating the value of x are :Step 1: 4(2x − 4) = 8 + 2x + 8  Step 2: 6x − 8 = 16 + 2x  Step 3: 6x − 2x = 16 + 8  Step 4: 4x = 24  Step 5: x = 6 Step 2 is incorrect, as the student instead of multiplying, adds the number as :4(2x − 4) = 8 + 2x + 8  Here, the correct step is :8x − 16 = 16 + 2x 6 x = 32x = 5.33So, the error is in STEP 2 and the correct option is (b).