Question

How do you combine like terms in `2( x - 1) - ( x - 2)`?

Answer 1

`x`

Here's how I did it:

Explanation:

Before we combine like terms, we have to distribute:

Based on the image, our problem would now expand to:
`2 * x - 2 * 1 - x + 2`

Now simplify:
`2x - 2 - x + 2`

Now we combine like terms. First, let's color-code the like terms:
`color(red)(2x) quadcolor(blue)(-quad2) quadcolor(red)(-quadx) quadcolor(blue)(+quad2)`

And simplify:
`x`

Hope this helps!