# How do you solve 2x - 4 = -4?

Nov 13, 2015

$x = 0$

#### Explanation:

Given: $2 x - 4 = - 4$

The objective is to get $x$ on its own.

$\textcolor{b l u e}{\text{Step 1}}$
Isolate the x-terms

$\left(2 x - 4\right) \textcolor{b r o w n}{+ 4} = \left(- 4\right) \textcolor{b r o w n}{+ 4}$

The purpose of the brackets is to show what part of the previous equation is going to be changed. They serve no other purpose!

$2 x + \textcolor{b r o w n}{\left(- 4 + 4\right)} = \textcolor{b r o w n}{\left(- 4 + 4\right)}$

$2 x + 0 = 0$

$\textcolor{b l u e}{\text{Step 2}}$

Divide both sides by 2

(2x)/(color(brown)(2)) =0/(color(brown)(2)

$\frac{2}{\textcolor{b r o w n}{2}} x = 0$

color(green)("But "2/2" is another way of writing "1

$1 \times x = 0$

$x = 0$