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16 votes
Solution.
5(4x + 7)-2x = ________+ 21

User Alice Chan
by
4.1k points

1 Answer

8 votes

Answer:

18x + 14

Explanation:

First, we need to distribute the 5:

5(4x + 7) - 2x = __ + 21

20x + 35 - 2x = __ + 21

Now, we can combine like terms:

20x + 35 - 2x = ___ + 21

18x + 35 = ___ + 21

> subtract 21 from both sides to isolate "___"

18x + 35 = __ + 21

-21 -21

18x + 14 = ___

now that we have a solution, we should check that it works:

5(4x + 7) - 2x = ____ + 21

5(4x + 7) - 2x = 18x + 14 + 21

{simplify both sides:}

20x + 35 -2x = 18x + 35

18x + 35 = 18x + 35

(TRUE)


So, we know our solution is 18x + 14

hope this helps!!

User Minwoo
by
5.1k points