Question

The work of a student trying to solve the equation 2(2x − 3) = 6 + 2x + 4 is shown below: Step 1: 2(2x − 3) = 6 + 2x + 4 Step 2: 4x − 3 = 10 + 2x Step 3: 4x − 2x = 10 + 3 Step 4: 2x = 13 Step 5: x = 6.5 In which step did the student first make an error and what is the correct step?

Step 2: 4x − 6 = 10 + 2x
Step 2: 4x − 3 = 2 + 2x
Step 3: 4x + 2x = 10 + 3
Step 3: 4x − 2x = 10 - 3

Answer 1

step 2 :4x-6=10+2x
this the the correct step

Answer 2

Answer: Step 2: 4x − 6 = 10 + 2x

Explanation:

Here,The given equation is,

2(2x − 3) = 6 + 2x + 4

Since, the steps of solving this expression are following,

Step 1 : 2(2x − 3) = 6 + 2x + 4

Step 2 : 4 x - 6 = 10 + 2x

Step 3 : 4x - 2x = 10 + 6

Step 4 : 2x = 16

Step 5 : x = 8

Thus, by the above explanation it can say that he did his first mistake in second step ( Because he solve the parenthesis incorrectly.)