Assuming you mean: 1/(2n-3) = 4+2/(3n)
1/(2n-3) = 4+2/(3n)
Multiply by (2n-3)(3n) to get rid of the fractions.
1(3n) = 4(2n-3)(3n) + 2(2n-3)
Expand.
3n = 8n-12 + 4n - 6
Move all terms with the variable to the left and all other terms to the right, remembering to switch signs when you switch sides.
3n - 8n - 4n = -12 - 6
-9n = -18
Divide both sides by -9 to get n on its own.
n = -18 / -9 = 2
So, n = 2.