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
35x+14=−24−20x
35 x plus 14 is equal to negative 24 minus 20 x
35x+14=−24+20x
35 x plus 14 is equal to negative 24 plus 20 x
35x+2=24−20x
35 x plus 2 is equal to 24 minus 20 x
5x+14=6+20x
5 x plus 14 is equal to 6 plus 20 x
35x+2=−24−5x
35 x plus 2 is equal to negative 24 minus 5 x
To simplify the equation using the Distributive Property, we need to distribute the coefficients to each term inside the parentheses.
Starting with the equation:
7(5x+2) = -4(6-5x)
First, we distribute 7 to both terms in the first parentheses:
35x + 14 = -4(6-5x)
Next, we distribute -4 to both terms inside the second parentheses:
35x + 14 = -24 + 20x
Therefore, the simplified equation is:
35x + 14 = -24 + 20x