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18 votes
18 votes
2x+4(2x+7)=3(2x+4) can someone please help me I need to find x

User Erebus
by
2.8k points

1 Answer

15 votes
15 votes

9514 1404 393

Answer:

x = -4

Explanation:

Start by eliminating parentheses and collecting terms.

2x +8x +28 = 6x +12 . . . . eliminate parentheses

10x +28 = 6x +12 . . . . . . . collect terms

4x +28 = 12 . . . . . . . . . . subtract 6x

4x = -16 . . . . . . . . . . . .subtract 28

x = -4 . . . . . . . . . . . divide by 4

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Check

2(-4) +4(2(-4) +7) = 3(2(-4) +4) . . . . substitute for x

-8 +4(-8 +7) = 3(-8 +4) . . . . evaluate products in parentheses

-8 +4(-1) = 3(-4) . . . . . . evaluate sums in parentheses

-8 -4 = -12 . . . . . . . . . true

User Gurkan Yesilyurt
by
3.2k points