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In order to solve for the variable In the equation 1-(x+2)+2x=5(2x-5)-x, Mikel first applies the distributive property. Which equation is a result of this step? A)1-x+2+2x=10x-5-x B)1-x-2+2x=10x-25-x C)1-x-1+2x=10x-25-x D)1-x-1+2x=10x-5-x

Respuesta :

apologiabiology

distributive property is a(b+c)=ab+ac

so

-(x+2)=-1(x+2)=-1(x)-1(2)=-x-2

5(2x-5)=5(2x)+5(-5)=10x-25


you get

1-x-2+2x=10x-25-x

answer is B

facundo3141592

We want to apply the distributive property to the given expression.

The correct option is B:

1 - x - 2 + 2x = 10x - 25 - x

Let's see how to solve this:

Remember that the distributive property says that:

A*(B + C) = A*B + A*C.

Here we have the expression:

1 - (x + 2) + 2x = 5*(2x - 5) - x

We can apply the distributive property to the first term in the right side, we will get:

1 - (x + 2) + 2x = 5*(2x - 5) - x

1 - (x + 2) + 2x = 5*2x - 5*5 - x

1 - (x + 2) + 2x = 10x - 25 - x

Now we can also apply the distribute property to the second term in the left side:

1 - (x + 2) + 2x = 10x - 25 - x

1 - x - 2 + 2x = 10x - 25 - x

Then the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/5637942

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