If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

# Combining like terms with distribution

CCSS.Math:

## Video transcript

so I have an expression here three times the entire expression 5x plus 6 and then plus the expression 7x plus 2 and all of that times 4 what I encourage you to do is pause this video and see if you can simplify this expression I'll give you a hint you're gonna have to do some distribution and then some combining of like terms all right now I'm assuming you've had a go at it now let's let's work through this together so as I mentioned when I see this 3 times the entire expression 5x plus 6 I want to distribute that 3 so I want to multiply that 3 times 5x and that 3 times the 6 so 3 times 5x well if I have five X's and I'll have 3 times that I'm going to have 15 X's and then 3 times 6 is 18 so this part of the expression we have now simplified to 15 X plus 18 now let's do the next part so here I have I have this larger expression written before this 4 but I want to do the same thing I just want to distribute the 4 it doesn't matter whether I'm multiplying if I have the 3 of have the number on the left side or on the right side so let's distribute this 4 I want to do 4 times 7x and I want to do 4 times 2 4 times 7x well that's going to be 28 X 28 X and then 4 times 2 is going to be 8 so we're almost there this part of our expression has simplified to 28 X plus 8 and now we can combine we can combine similar terms so we have 15 X's and then we can add that to 28 X's so if I had 15 let me do this in a different color if I have 15 of something and I add 28 of something of that same something to it well then I'm going to have what 43 X's so 43 X is 15 X plus 28 X's I added the coefficients there that's going to be 43 X's and then 18 plus 8 let me do this in a new color so 18 plus 8 is going to be 26 and we're done we've simplified this longer expression we did some distribution then we combined some terms to get 43 X plus 26