4ax+8a-10x-20

Assuming you want to factor it, grouping is probably the easiest way:

4ax+8a-10x-20
2(2ax+4a -5x-10)
2(2a(x+2)-5(x+2))
2(2a-5)(x+2)

4ax divided 10x

To simplify the given expression, 4ax + 8a - 10x - 20, you can group the similar terms together.

First, notice that the terms 4ax and -10x have a common factor of x, and the terms 8a and -20 have a common factor of 4.

Now, let's factor out the common factors separately.

From the terms 4ax and -10x, you can factor out x:
4ax - 10x = x(4a - 10)

From the terms 8a and -20, you can factor out 4:
8a - 20 = 4(2a - 5)

Now you have simplified the expression using factoring:
4ax + 8a - 10x - 20 = x(4a - 10) + 4(2a - 5)

Note: It is important to understand that factoring is just one method to simplify expressions. There might be other algebraic techniques to simplify expressions, depending on the given expression and the specific goal.