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Which expression is equivalent? 6(2x + 3) − 4(5x + 2) A) 8x + 10 B) 8x − 10 C) −8x + 10 D) −8x − 10

User Imran Azad
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2 Answers

6 votes

Use the distributive property:

6(2x + 3) - 4(5x + 2) = (6)(2x) + (6)(3) + (-4)(5x) + (-4)(2)

= 12x + 18 - 20x - 8 = (12x - 20x) + (18 - 8) = -8x + 10

Answer: C) -8x + 10

User Jonathan Amend
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4.6k points
2 votes

Hey there!!

Given equation -->

6 ( 2x + 3 ) - 4 ( 5x + 2 )

In order to solve this equation, we will need to use the distributive property.

We will need to distribute the term 6 with 2x and 3

We will need to distribute the term -4 with 5x and 2

Distributing 6 = 12x + 18

Distributing -4 = -20x - 8

Now, let's get all the terms together :

12x + 18 - 20x - 8

Now combine all the terms :

-8x + 10

Hence , option ( c ) would be correct!

Hope my answer helps!!

User EFreak
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5.6k points