3 over6x+1over2 = 8over x + 4 over 3

3 6x + 12 = 8x + 43

Multiply by the common denominator of 6x 3+1 (3x) = 8 (6) + 4 (2x) 3+3x=48+8x - 5x=45

x=-9

Since x was in a denominator, make sure to check the solution

3 6 / (-9) + 1/2 = 8 / (-9) + 4/3 - 3/54 + 1/2 = - 8 (9) + 4/3 - 1/18 + 1/2 = - 8 / (9) + 4/3 - 1/18 + 9/18 = - 8 / (9) + 12/9 8

8/18 = 4/49