How do you solve 5(x−2)−(4x+4)=−4?

3 Answers
Ori Kiko
Apr 5, 2018

x=10

Explanation:

5(x−2)−(4x+4)=−4

5x−10−4x−4=−4

x−14=−4

x=−4+14

x=10

Shantelle
Apr 5, 2018

x=10

Here's how I did it:

Explanation:

5(x−2)−(4x+4)=−4

The first thing we want to do is use the distribute property. This means that we "distribute" or multiply the value outside of the parenthesis to everything inside it.

Let's look at 5(x−2). That means:
5⋅x=5x

5⋅−2=−10

And when we combine them together we get 5x−10.

Next, for −(4x+4), we need to distribute the negative sign, so we get:
−4x−4

So now the equation looks like this:
5x−10−4x−4=−4

Now we need to simplify and combine "like terms", so:
x−14=−4

Now we add 14 to both sides of the equation and get the value of x:
x=10

patrick peter y. · Stefan V.
Apr 5, 2018

x=10

Explanation:

5(x−2)−(4x+4)=−4

Open the brackets

5x−10−4x−4=−4

5x−4x−10−4=−4

x−14=−4

Collect like terms

x=14−4

x=10 (Answer).

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