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# Combining like terms with distribution

Learn to expand and simplify an expression like 3(5x+6) + (7x+2)*4.

## Want to join the conversation?

• Does anyone know a faster way of combining like terms
• How would I do this?
8(a+2)+2(2+3a)
• First you would take the first brackets and multiply them by eight , 8*a = 8a, 8*2 = 16
now keep 8a and 16 aside
lets go to the next bracket(2(2+3a))
and multiply them by two
2*2 = 4 and 2*3a = 6a
now lets keep them aside too
now lets take them both and keep them in a equation:-
8a + 16 + 4 + 6a
then lets get the like terms together
8a + 6a + 4 + 16
now add 8a + 6a this is the same thing as adding
6 to 8 so lets add them in which you get
14a
now lets keep it aside then lets add 14 + 6
which is 20
now lets get our 14a and 20 and form a equation:-
14a + 20
14a + 20
• it is not that confusing when you got the hang of it
• what is 3(5x+6) + (7x+2)*4.
• Why don't you give it a try.
1) Eliminate the 1st set of parentheses by multiply 3 with both the 5x and the +6.
2) Eliminate the 2nd set of parentheses by multiplying 4 with both the 7x and the +2
3) You will now have 4 terms. Combine the like terms. Your answer should have 2 terms.

Give it a try. Comment back if you want to check your result.
(1 vote)
• So we always have to do the first number. Ex 3(5x+6) like that
• is there any other methods?
• how do i do this (2+2w)⋅4+9(w+3)