I need to know how to solve the problem:

3/2x+1/5x=11/6x-2/15

1. 30 • 3/2x + 30 x 1/5x = 30 • 11/6x - 30 • 2/15

(To simplify, multiply both sides by the least common denominator)

2. 15 • 3x + 6x = 5 • 11x - 2 • 2

(Multiply)

3. 45x + 6x = 55x - 4

(Collect Like Terms)

4. 51x = 55x - 4

(Move variable to the left side and change its sign)

5. - 4x = - 4

(Divide both sides of the equation by - 4)

6. x = 1

3/2x + 1/5x = 11/6x - 2/15 ... to get rid of fractions, multiply by common denominator, which is 30.

45x + 6x = 55x - 4

51x = 55x - 4

51x - 55x = - 4

-4x = - 4

x = - 4/-4

x = 1