Question

How do you simplify `3( 5x - 6) + 2( 6+ x )`?

Answer 1

`17x-6`

Explanation:

`"distribute brackets and collect like tems"`

`=color(red)(15x)color(blue)(-18)color(blue)(+12)color(red)(+2x)`

`=17x-6`

Answer 2

`3(5x−6)+2(6+x) = 17x - 6`

Explanation:

`color(red)3( 5x - 6) + color(orange)2( 6+ x )`

`= color(red)3 xx 5x + color(red)3 xx (- 6) + color(orange)2 xx 6 + color(orange)2 xx x`

`= 15x - 18 + 12 + 2x`

`= 17x - 6`

Answer 3

`17x-6`

Explanation:

We want to distribute the `3` on the outside to the first term, and the `2` to its term. Here we are just multiplying, and we get

`15x-18+2x+12`

Notice, we just multiplied the `3` on the outside by the `5x` and the `-6`, and the `2` by the `6` and the `x`. In essence, what we just used is the Distributive Property.

We can now combine our variable terms to get `17x`, and our constants to get `-6`. Putting it together, we get

`17x-6`

Hope this helps!