Describe and correct the error Cameron made when solving the equation
6x – 2(x – 5) = –2. Place an X next to the incorrect step and describe his error.
6x – 2(x – 5) = –2
6x – 2x – 10 = –2
4x – 10 = –2
4x – 10 + 10 = –2 + 10
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4x
4 =
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8
4
x = 2

Respuesta :

Answer:

  first step: sign error in application of the distributive property

Step-by-step explanation:

6x – 2(x – 5) = –2   . . .   given

6x – 2x – 10 = –2   . . .    X  -2(x -5) = -2x +10, not -10

Cameron made a sign error in application of the distributive property.

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The next steps should have been ...

  [tex]4x+10-10=-2-10\\\\4x=-12\\\\\dfrac{4x}{4}=\dfrac{-12}{4}\\\\x=-3[/tex]