Question

I WILL FAN AND MEDAL THE PERSON WHO HELPS ANSWER THE QUESTION
Explain, in your own words, the step-by-step process to simplifying the expression below. Include the simplified answer in your explanation.

(6x2 − 5) − (3x2 + x + 7)

Answer 1

First we must work in the brackets. As per convention we'll start with the bracket on the left.
(6x2 - 5)
The first thing to do is deal with the multiplication

6x2 = 12

Next we subtract

(12-5)
=7

Thus the left bracket is 7, now we move to the right bracket.

Same thing we deal with the multiplication which is 3x2

(6+x+7)
Using the properties of addition we can add 6 and 7 which gives us 13

So now the line looks like this

(7) - (13+x)
Distribute the negative over the 13 and the x and it'll be
7 - 13 - x

To isolate for x set the entire line to 0

7 - 13 - x = 0
-6 - x = 0
x = 6.

Hopefully that answers your question, and it wasn't 6x^2 and 3x^2 in the brackets. Haha then the process is really different.

Answer 2

Excellent thanks so much @SA5UK3