Question

In order to solve for the variable in the equation 1 minus (x + 2) + 2 x = 5 (2 x minus 5) minus x, Mikel first applies the distributive property. Which equation is a result of this step?

Answer 1

Given:

The given equation is

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

Mikel first applies the distributive property.

To find:

The resulted equation of this step.

Solution:

We have,

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

According to the distributive property,

$a(b+c)=ab+ac$

Using distributive property, we get

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

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

Therefore, the resulted equation after distributive property is $1-x-2+2x=10x-25-x$.