Question

Which of the following expressions are equivalent to 4x-6+8x+2

A) 12x-4
B)4(3x-1)
C)-2x+10
D)2x-8

Answer 1

A) 12x-4

and B) 4(3x-1)

Explanation:

4x-6+8x+2

Rearrange the question

4x+8x-6+2

12x-4

B because when you simplify the equation 4(3x-1) = 12x-4

Answer 2

A) 12x - 4 and B) 4(3x - 1)

Explanation:

You have to combine like terms to solve this problem. Any terms with the same variable are like terms, and all constants are like terms.

4x - 6 + 8x + 2

Here, 4x and 8x are like terms, so are -6 and 2, so we group them together

4x + 8x - 6 + 2

Now simplify

12x - 4 (4x + 8x = 12x, there are 4 'x's and you add 8 more 'x's,

you have -6 and add 2 to it). This is answer A

Each of these terms has a multiple of 4, so we can factor that term out to get answer B

4(3x - 1) (12x/4 = 3x, and -4/4 = 1)