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Which is the simplified form of the expression 3(7/5x + 4) - 2(3/2 - 5/4x)

User Yonutix
by
5.1k points

2 Answers

5 votes

Answer:

67x/10 + 9

Explanation:

Simplify 7/5x to 7x/5

3(7x/5 + 4) -2(3/2 - 5/4x)

Simplify 5/4x to 5x/4

3(7x/5 + 4) -2(3/2 - 5x/4)

Expand

21x/5 + 12 - 3 + 5x/2

Collect like terms

(21x/5 + 5x/2) + (12 - 3)

Simplify

67x/10 + 9

User Jim Baca
by
5.7k points
7 votes

Answer:

Explanation:

I think you meant 3([7/5]x + 4) - 2(3/2 - [5/4]x). If that's the case, then identify the LCD: It is 20. Multiply both [7/5]x + 4 and 3/2 - [5/4]x by 20 and then divide the resulting expression by 20:

3(28x + 80) - 2(30 - 25x)

------------------------------------

20

Next, perform the indicated multiplication:

84x + 240 - 60 + 50x

----------------------------------

20

This simplifies to:

34x + 180 17x + 9

---------------- = ----------------

20 10

Next time, please share the answer choices.

User Ashot Khanamiryan
by
5.2k points