Question

I need to know how to solve the problem:3/2x+1/5x=11/6x-2/15

Answer 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

Answer 2

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