Ln(3x+6)-Ln(2x+6)=x+1

Solution for Ln(3x+6)-Ln(2x+6)=x+1 equation:

Simplifying
Ln(3x + 6) + -1Ln(2x + 6) = x + 1

Reorder the terms:
nL(6 + 3x) + -1Ln(2x + 6) = x + 1
(6 * nL + 3x * nL) + -1Ln(2x + 6) = x + 1
(6nL + 3nxL) + -1Ln(2x + 6) = x + 1

Reorder the terms:
6nL + 3nxL + -1nL(6 + 2x) = x + 1
6nL + 3nxL + (6 * -1nL + 2x * -1nL) = x + 1
6nL + 3nxL + (-6nL + -2nxL) = x + 1

Reorder the terms:
6nL + -6nL + 3nxL + -2nxL = x + 1

Combine like terms: 6nL + -6nL = 0
0 + 3nxL + -2nxL = x + 1
3nxL + -2nxL = x + 1

Combine like terms: 3nxL + -2nxL = 1nxL
1nxL = x + 1

Reorder the terms:
1nxL = 1 + x

Solving
1nxL = 1 + x

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '1xL'.
n = x-1L-1 + L-1

Simplifying
n = x-1L-1 + L-1

Reorder the terms:
n = L-1 + x-1L-1