an equation is shown below:


4(x − 3) − 5(x 1) = 3


which statement shows a correct next step in solving the equation?


the equation can become 4x − 3 − 5x 1 = 3 by applying the associative property of multiplication.

the equation can become 4x − 3 − 5x 1 = 3 by applying the distributive property.

the equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.

the equation can become 4x − 12 − 5x − 5 = 3 by applying the associative property of multiplication.

Verified Answer :

The equation is 4(x-3) -(5x+1) = 3

The next step is solving the equation is to apply the distributive property and the equation becomes 4x - 12 - 5x - 5 = 3.

So the correct answer is the third option.

Answer:

Option C is correct

The equation can become \(4x -12 -5x -5= 3\)  by applying the distributive property.

Step-by-step explanation:

Distributive property states that:

\(a \cdot (b+c) = a\cdot b + a\cdot c\)

As per the given statement:

An equation is given as:

\(4(x -3) -5(x+1) = 3\)

Apply the distributive property we have;

\(4x -12 -5x -5= 3\)

Therefore, the equation can become \(4x -12 -5x -5= 3\)  by applying the distributive property.