Question

Which expressions are equivalent to (1/3x−4x−5/3x)−(−1/3x−3) ?Select all correct expressions.

A. −2x+3−3x
B. −3+5x
C. −5x+3
D. 2x−3+3x

Answer 1

To simplify the expression (1/3x−4x−5/3x)−(−1/3x−3), distribute the negative sign, combine like terms, and add the like terms. The equivalent expression is -5x + 3.

Step-by-step explanation:

To simplify the expression (1/3x−4x−5/3x)−(−1/3x−3), we'll distribute the negative sign.

This gives us (1/3x−4x−5/3x) + (1/3x + 3).

Combining like terms, we have -2x + 3 - (3x + 3).

Adding the like terms, we get -5x + 3. So, the expression equivalent to the given expression is -5x + 3.