Question

How do you solve `3-2x=9`?

Answer 1

The answer to the equation is `x=-3`

Explanation:

The thing you always want to do in linear equations, is try to seperate the `x`.
The only thing standing in the way at the moment is that `3`. We can just remove it by subtracting `3`. But, this is only allowed if you also subtract it on the right side of the equation:

`3-2x=9`
`3 \color(blue)(-3)-2x=9\color(blue)(-3`
`-2x=6`
Now, there's this `-2` that keeps sticking to the `x`. We can also remove that, by dividing by `-2`.But, this is only allowed if you also divide on the right side of the equation:
`(-2x)/\color(green)(-2)=6/\color(green)(-2)`
`x= -3`