-2x+4>5(x-2)
There are two ways to solve the equation. It all depends on how you go about it. Both ways are correct and both ways get you the same answer. The first step to both is expanding 5(x-2). Just multiply 5 by x and by 2.
-2x+4>5x-10
Here is where you can go one...

9/5(2/3+.23)
Convert .23 into a fraction. While you could convert 9/5 and 2/3 into decimals, 2/3 does not reduce into a whole number and you would be forced to round, thus not making the answer the "exact" answer.
9/5(2/3+23/100)
You can now add the two fractions...

If you are trying to solve for x, you are just looking for the values for x that make that equation true.
(x+6)(x+2)=0 Meaning, either (x+6)=0 or (x+2)=0 or both.
x+6=0 x+2=0
x=-6 x=-2
So your values...

A demonstration on basic factoring.

We know two things. Our two numbers have a sum of 84 and one number is larger than the other by 22.
If we use x and y as variables, with x representing the smaller number and y representing the bigger number, we can find our answer.
x+y=84
y=x+22
If we substitute y...

Factoring is essentially, simplifying the expression. Usually it is used to find the roots of an equation. When you have a number in front of the x^2, you should always attempt to factor out that number. Meaning, all the other numbers can be divided by that
number. For example: 2x^2+2x+10...