Question

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

Answer 1

I got
`color(white)("XXX")color(purple)(x=-1)`

Explanation:

1. Simplify the Left Side and Right Side Independently of Each Other
`color(red)(2(x-1)+3)=color(blue)(x-3(x+1))`

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

`color(red)(2x+1)=color(blue)(-2x-3)`

2. Move All the Variable (`x`) Terms to One Side and Constant Terms to the Other
Adding `color(green)(2x)` to both sides:
`4xcolor(red)(+1)=color(blue)(-3)`

Subtracting `color(green)(1)` from both sides:
`4x=-4`

3. Reduce the Equation to a Definition of a Single Unit of the Variable (`x`)
Dividing both sides by `color(green)(4)`
`x=-1`