MHB What Are the Steps to Simplify Algebraic Expressions?

[eleventhxhour]

How do you simplify this?
$$-2x[5x-(2x-7)]+6x[3x-(1+2x)]$$

Can someone show the steps? I keep getting the wrong answer.

 

[Dustinsfl]

How do you simplify this?
$$-2x[5x-(2x-7)]+6x[3x-(1+2x)]$$

Can someone show the steps? I keep getting the wrong answer.

I would first simplify the inside pieces, multiple, and then add. That is,
\[
5x - (2x - 7) = 5x - 2x + 7
\]
Correct?
Then we have
\[
-2x(3x + 7) = -6x^2 - 14x
\]
Now for the other piece, we have
\[
3x - 1 - 2x = x - 1
\]
Correct?
Then we have
\[
6x(x-1) = 6x^2 - 6x
\]
Now we can add the two pieces together to get
\[
-6x^2 - 14x + 6x^2 - 6x = -20x
\]

 

[Fermat1]

How do you simplify this?
$$-2x[5x-(2x-7)]+6x[3x-(1+2x)]$$

Can someone show the steps? I keep getting the wrong answer.

This is practically a duplicate of a previous question. You were given plenty of reponses. If you didn't understand you should have asked for clarification, although expanding brackets is so fundamental you will be able to find step by step guides in any textbook on secondary school algebra.