5 (2x - 3) + 2 (3x + 1)

1/3 (2x - 3) + 1 = 1/4 (3x + 5) - 2

2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2

2x/3 - 1 + 1 = 3x/4 + 5/4 - 2

2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2

2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4

8x/12 - 9x/12 = 5/4 - 8/4

(8x - 9x) / 12 = (5 - 8) / 4

-x/12 = - 3/4

-x/12 * 12 = - 3/4 * 12

-x = - 36/4

-x * - 1 = - 36/4 * - 1

x = 36/4

x = 9

Done

For check the answer

let x = 9

1/3 (2[9] - 3) + 1 = 1/4 (3[9] + 5) - 2

1/3 (18 - 3) + 1 = 1/4 (27 + 5) - 2

1/3 (15) + 1 = 1/4 (32) - 2

15/3 + 1 = 32/4 - 2

15/3 + 3/3 = 32/4 - 8/4

18/3 = 24/4

6 = 6

therefor

x = 9 is a correct answer