Question

Is 6(4x-5) equivalent to 3+22x-33-2x?

YES or NO?????

Show your work!

6(4x-5) 3+22x-33-2x

Answer 1

Not equivalent

Explanation:

We are given an expression
`6 ( 4 x - 5 )` and we are to check if it is equal to
`3 + 22 x - 33 - 2 x` or not.

Evaluation the given expression first:

`6 ( 4 x - 5 ) = 24 x - 30`

While adding the terms in
`3 + 22 x - 33 - 2 x`, we get:

`22 x - 2 x - 33 + 3 = 20 x - 30`

`24 x - 30 \\eq 20 x - 30`

Therefore,
`6 ( 4 x - 5 )` is not equivalent to
`3 + 22 x - 33 - 2 x`.

Answer 2

NO

Explanation:

To find if they are equivalent, we need to simplify them first.

Using the distributive property we get:

6(4x-5) = 24x - 30

In this case we need to combine like terms.

3 + 22x - 33 - 2x = 20x - 30

So now we can compare.

24x - 30 ≠ 20x - 30

So we can conclude that the two expressions are not equal because 24x - 30 and 20x - 30 are obviously not equal.