Question 13 (1 point)
Using the Distributive Property as a good first step to solving the equation, you could simplify to get which of these choices?
5(4x + 3) = -4(5 - 2x)
a
9x+8= 1-6x
b
20x + 15 = 20 - 8x
c
20x+3=-20x-2
d
15x+20=20-8
e
20x+15=-20+8x
b) 20x + 15 = 20 - 8x
To simplify using the Distributive Property, you need to distribute the numbers outside the parentheses to the terms inside.
For the equation 5(4x + 3) = -4(5 - 2x), you can simplify it as follows:
Step 1: Distribute 5 to 4x and 3:
5 * 4x + 5 * 3 = -4(5 - 2x)
20x + 15 = -20 + 8x
Now, let's check the choices to see which one matches this simplified equation.
a) 9x + 8 = 1 - 6x
This choice does not match the simplified equation.
b) 20x + 15 = 20 - 8x
This choice matches the simplified equation.
c) 20x + 3 = -20x - 2
This choice does not match the simplified equation.
d) 15x + 20 = 20 - 8
This choice does not match the simplified equation.
e) 20x + 15 = -20 + 8x
This choice does not match the simplified equation.
Therefore, the correct choice is b) 20x + 15 = 20 - 8x.