using the distrubitive property as a good first step to solving the equation 7(5x+2)=-4(6-5x), you could simplify this equation two get which of these choices?
35x+14=-24+20x
35x+2=-24-5x
35x+2=24-20x
35x+10=-24+20x
5x+14=6+20x
Using the distributive property, the equation can be simplified as follows:
7(5x+2) = -4(6-5x)
35x + 14 = -24 + 20x
Therefore, the correct choice is: 35x + 14 = -24 + 20x
To simplify the equation using the distributive property as a first step, we need to distribute the values outside the parentheses to the terms inside the parentheses.
Given equation: 7(5x + 2) = -4(6 - 5x)
First, distribute 7 to both terms inside the first set of parentheses:
35x + 14 = -4(6 - 5x)
Next, distribute -4 to both terms inside the second set of parentheses:
35x + 14 = -24 + 20x
Therefore, the simplified equation is:
35x + 14 = -24 + 20x
The answer choice that matches this simplified equation is:
35x + 14 = -24 + 20x
To simplify the equation using the distributive property, you need to distribute the coefficients outside the parentheses to both terms inside the parentheses. Let's go through the process step by step:
Start with the equation: 7(5x + 2) = -4(6 - 5x)
First, distribute 7 to both terms inside the parentheses on the left side:
35x + 14 = -4(6 - 5x)
Next, distribute -4 to both terms inside the parentheses on the right side:
35x + 14 = -24 + 20x
Now, the equation is simplified as 35x + 14 = -24 + 20x. Therefore, the correct choice is: 35x + 14 = -24 + 20x.