# How do you solve 2(x-1) + 3= x -3(x+1)?

Jul 24, 2016

I got
$\textcolor{w h i t e}{\text{XXX}} \textcolor{p u r p \le}{x = - 1}$

#### Explanation:

1. Simplify the Left Side and Right Side Independently of Each Other
$\textcolor{red}{2 \left(x - 1\right) + 3} = \textcolor{b l u e}{x - 3 \left(x + 1\right)}$

$\textcolor{red}{2 x - 2 + 3} = \textcolor{b l u e}{x - 3 x - 3}$

$\textcolor{red}{2 x + 1} = \textcolor{b l u e}{- 2 x - 3}$

2. Move All the Variable ($x$) Terms to One Side and Constant Terms to the Other
Adding $\textcolor{g r e e n}{2 x}$ to both sides:
$4 x \textcolor{red}{+ 1} = \textcolor{b l u e}{- 3}$

Subtracting $\textcolor{g r e e n}{1}$ from both sides:
$4 x = - 4$

3. Reduce the Equation to a Definition of a Single Unit of the Variable ($x$)
Dividing both sides by $\textcolor{g r e e n}{4}$
$x = - 1$