Which shows how to solve the equation Negative four-fifths x = 80 for x in one step?
Negative four-fifths (Five-fourths) x = 80 (five-fourths)
Negative four-fifths (Negative five-fourths) x = 80 (negative five-fourths)
Negative four-fifths (negative 5) x = 80 (negative 5)
Negative four-fifths (5) x = 80 (5)
-4/5x = 80
Multiply both sides by -5/4.
To solve the equation Negative four-fifths x = 80 for x in one step, you can perform the following calculation:
Since Negative four-fifths (or -4/5) is being multiplied by x, to isolate x, you need to divide both sides of the equation by -4/5.
Dividing both sides by -4/5 is equivalent to multiplying both sides by its reciprocal, which is -5/4.
So, the correct step to solve the equation in one step is to multiply both sides of the equation by -5/4:
Negative four-fifths x = 80 * (-5/4)
Simplifying this expression:
Multiplying -5/4 by 80 gives: -5/4 * 80 = -400/4 = -100
Therefore, the solution to the equation Negative four-fifths x = 80 is x = -100.