Question 40550
2/5x=-10

First, you need to isolate the "x".  Since the "x" term is in the denominator of a fraction, multiply both sides of the equation by the inverse of 1/5x which would be 5x/1 (just flip it):

2/5x (5x/1) = -10 (5x/1)

Cancel and Simplify you get:

2 = -10 (5x)

Continue to simplify:

2 = -50x

Divide both sides by -50 to further isolate the "x":

2/-50 = x

Reduce:

1/-25 = x  or -1/25 = x

Be sure to check the answer by plugging the value of  x (which we think is -25) back into the original problem:

2/5x=-10

2/(5 (-1/25)) = -10

Enter the left side of the equation into your calculator:

2 divided by 5/(-1/25) = -10

Entire this equation into your calculator and you should get:

-10 = -10