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Which expressions are equivalent to 3(2x + 8) - 4x? Select ALL that apply.

A. 4(2x+6)-6x
B. 2(x-20)+4
C. 2(x+10)+4
D. 12(x+2)-10x
E. 2x+24

Respuesta :


[tex]3(2x + 8) - 4x \\ = 6x + 24 - 4x \\ = 2x + 24[/tex]
Let's see A
[tex]8x + 24 - 6x \\ = 2x + 24[/tex]
Let's see B
[tex]2x - 40 + 4 \\ = 2x - 36[/tex]
Let's see C
[tex]2x + 20 + 4 \\ = 2x + 24[/tex]
Let's see D
[tex]12x + 24 - 10x \\ = 2x + 24[/tex]
E. 2x + 24

So the answers are A, C, D and E.

Hope this helps.

4(2x+6)-6x , 2(x+10)+4, 12( x+2) -10x and 2x + 24 are equivalent to the 3(2x+8)-4x.

What is an equivalent equation?

" Two or more algebraic equations are said to be equivalent when they have same solutions but different expression."

According to the question,

Given,

3(2x + 8) -4x

=6x + 24 -4x

=2x + 24

To check which equations are equivalent to given expression.

Solution of all the options are here

4(2x+ 6 ) -6x

=8x + 24-6x

=2x + 24

Option (A ) is equivalent to given expression.

2(x-20) +4

=2x - 40 +4

=2x - 36

Option (B) is incorrect.

2(x+10) +4

=2x +20 +4

=2x +24

Option(C) is equivalent to given expression.

12(x+2) -10x

=12x +24-10x

=2x + 24

Option (D) is equivalent to given expression.

2x +24

Option(E) is equivalent to given expression.

Hence, Option(A) , (C), (D) and (E) are correct.

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