The work of a student to solve the equation 2(4x – 4) = 8 + 4x + 4 is shown below: Step 1. 2(4x – 4) = 8 + 4x + 4 Step 2. 6x – 6
= 12 + 4x Step 3. 6x – 4x = 12 + 6 Step 4. 2x = 18 Step 5. X = 9 In which step did the student first make an error and what is the correct step? Step 2,8x – 6 = 2(6 + 2x + 2) Step 2,8x – 8 = 12 + 4x Step 3,6x – 4x = 12 – 6 Step 3,6x + 4x = 12 + 6
2 answers:
Answer:
Let's solve your equation step-by-step.
2(4x−4)=8+4x+4
Step 1: Simplify both sides of the equation.
2(4x−4)=8+4x+4
(2)(4x)+(2)(−4)=8+4x+4(Distribute)
8x+−8=8+4x+4
8x−8=(4x)+(8+4)(Combine Like Terms)
8x−8=4x+12
8x−8=4x+12
Step 2: Subtract 4x from both sides.
8x−8−4x=4x+12−4x
4x−8=12
Step 3: Add 8 to both sides.
4x−8+8=12+8
4x=20
Step 4: Divide both sides by 4.
4x
4
=
20
4
x=5
Answer:
x=5 is what they should've got so compare and you have your answer <em>:D</em>
Answer:
1) The step 2 is wrong.
2) the correct step is 8x - 8 = 12 + 4x
Step-by-step explanation:
2(4x – 4) = 8 + 4x + 4
Step 1. :
= 2(4x – 4) = 8 + 4x + 4
Step 2. :
=6x – 6 = 12 + 4x ( wrong)
This was wrong because , 2 multiplied by 4 is 8 not 6.
The correct way:
Step 1. :
2(4x – 4) = 8 + 4x + 4
Step 2. :
Step 3. :
Step 4. :
Step 5. :
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