Solve for x: 1/x = 6/5x + 1

x = - 1/5

Step-by-step explanation:

Let's solve for x in the equation given:

1/x = 6/5x + 1

Lowest Common Denominator = 5x

5 = 6 + 5x

5 - 6 = 5x

-1 = 5x

x = - 1/5

Let's prove x = - 1/5 is correct

1 / - 1/5 = 6/5 * - 1/5 + 1

1/1 * - 5/1 = 6/-1 + 1

-5 = - 6 + 1

- 5 = - 5

We proved that x = - 1/5 is correct