Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices?(1 point)
Responses
A. 35x+2=24−20x
B. 35x+14=−24−20x
C. 5x+14=6+20x
D. 35x+2=−24−5x
E. 35x+14=−24+20x
To solve the equation using the Distributive Property, you need to distribute the coefficients to the terms inside the parentheses.
Applying the Distributive Property to the equation 7(5x+2)=-4(6-5x), you would end up with:
35x + 14 = -24 + 20x
Therefore, the correct choice is:
B. 35x+14=−24+20x
To simplify the equation 7(5x+2) = -4(6-5x) using the distributive property, you can multiply each term inside the parentheses by the coefficient outside of it. This would lead to the following equation:
35x + 14 = -24 + 20x
Therefore, the correct choice is E. 35x+14=−24+20x.