What number must be multiplied by each side of the equation(2)/(5)x=10 to produce the equivalent equation x=25

multiply by 5/2

Step-by-step explanation:

2/5 x = 10

we want to get x alone so we multiply by the reciprocal

the reciprocal of 2/5 = 5/2

multiply both sides by 5/2

5/2* 2/5 x = 5/2 * 10

x = 50/2

x =25