Question

Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ?

Select all correct expressions.

Responses

−4x+5+3x
negative 4 x plus 5 plus 3 x

5−x
5 minus x

x−5
x minus 5

4x−5−3x

Answer 1

Both x - 5, and 4x-5-3x are equivalent to (1/3x+2x−5/3x)−(−1/3x+5)

Explanation:

Let's reorganize the given expression:

(1/3x+2x−5/3x)−(−1/3x+5)

1/3x+2x−5/3x + 1/3x-5 [Expand the parentheses]

2/3x+2x−5/3x -5 [Combine like terms]

-3/3x+2x -5

-x + 2x - 5

x - 5 One of the equivalent expressions

The option 4x-5-3x also reduces to x - 5