−4(x + 4x) = 2(2 − x) + 10

Responses
A −7/9
− 7/9
B −9/7
− 9/7
C 7/9
7/9
D 9/7

1 answer

Let's begin by simplifying both sides of the equation:

On the left side:
-4(x + 4x) = -4(5x) = -20x

On the right side:
2(2 - x) + 10 = 4 - 2x + 10 = 14 - 2x

Now, we have the equation: -20x = 14 - 2x

Adding 2x to both sides:
-20x + 2x = 14 - 2x + 2x
-18x = 14

Now, divide both sides by -18:
-18x/-18 = 14/-18
x = -14/18
x = -7/9

Therefore, the solution to the equation is x = -7/9.

The correct answer is A) −7/9.