. Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)

Question

, you could simplify this equation to get which of these choices?(1 point)
Responses

35x+2=−24−5x

35x+14=−24+20x

5x+14=6+20x

35x+2=24−20x

35x+14=−24−20x

Answer 1

To solve the given equation \( 7(5x+2) = -4(6-5x) \) using the Distributive Property, we need to distribute the terms on both sides of the equation.

Starting with the left side: \[ 7(5x + 2) = 7 \cdot 5x + 7 \cdot 2 = 35x + 14 \]

Now for the right side: \[ -4(6 - 5x) = -4 \cdot 6 + (-4) \cdot (-5x) = -24 + 20x \]

Now, putting both sides together, we have: \[ 35x + 14 = -24 + 20x \]

So the simplified equation is: \[ 35x + 14 = -24 + 20x \]

From the provided choices, the correct response is: 35x + 14 = -24 + 20x