To solve this problem, we must isolate x by itself on one side of the equation and move everything else to the other side.
3/5x + 12 = 4/6x - 2
So first add 2 to each side of the equation.
3/5x + 14 = 4/6x
Then subtract 3/5x from each side of the equation to get x on one side.
14 = 4/6x - 3/5x
Now to subtract them we must get a common denominator, in this case it will be 30. So we must multiply the top and bottom of 4/6 by 5, and the top and bottom of -3/5 by 6.
14 = 5(4/6x) - 6(3/5x)
14 = 20/30x - 18/30x
Now subtract.
14 = 2/30x
Simplify 2/30x by taking a 2 out of the top and bottom of the equation.
14 = 1/15x
Lastly multiply each side of the equation by 15, the reciprocal of 1/15, to get x by itself.
15(14) = x
210 = x
210 is your answer
Hope this helps!