How do you solve -(x+2)-2x=-2(x+1)?

2 Answers
Feb 14, 2017

x=0

Explanation:

Firstly, you need to get the (x+2) on its own, so that means + 2x on both sides, leaving you with

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

which can be simplified by expanding the brackets then simplifying

-x - 2 = -2

which in turn can be also simplified by adding 2 to both sides, giving you

-x = 0

which is the same as

x = 0

Hopefully this was helpful...

Feb 14, 2017

See the entire solution process below:

Explanation:

First, expand the terms within parenthesis. Take special care to ensure you manage the signs of the individual terms correctly:

-x - 2 - 2x = (-2 xx x) - (2 xx 1)

-x - 2 - 2x = -2x - 2

We can next group and combine like terms on the left side of the equation:

-x - 2x - 2 = -2x - 2

-3x - 2 = -2x - 2

Now, we can add color(red)(3x) and color(blue)(2) to each side of the equation to solve for x while keeping the equation balanced:

color(red)(3x) - 3x - 2 + color(blue)(2) = color(red)(3x) - 2x - 2 + color(blue)(2)

0 - 0 = 1x - 0

0 = x

x = 0