Lnx+(x-4)=ln(x+6)

Solution for Lnx+(x-4)=ln(x+6) equation:

Simplifying
Lnx + (x + -4) = ln(x + 6)

Reorder the terms:
nxL + (-4 + x) = ln(x + 6)

Remove parenthesis around (-4 + x)
nxL + -4 + x = ln(x + 6)

Reorder the terms:
-4 + nxL + x = ln(x + 6)

Reorder the terms:
-4 + nxL + x = ln(6 + x)
-4 + nxL + x = (6 * ln + x * ln)
-4 + nxL + x = (6ln + lnx)

Solving
-4 + nxL + x = 6ln + lnx

Solving for variable 'n'.

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

Add '-6ln' to each side of the equation.
-4 + nxL + -6ln + x = 6ln + -6ln + lnx

Reorder the terms:
-4 + -6ln + nxL + x = 6ln + -6ln + lnx

Combine like terms: 6ln + -6ln = 0
-4 + -6ln + nxL + x = 0 + lnx
-4 + -6ln + nxL + x = lnx

Add '-1lnx' to each side of the equation.
-4 + -6ln + nxL + -1lnx + x = lnx + -1lnx

Reorder the terms:
-4 + -6ln + -1lnx + nxL + x = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4 + -6ln + -1lnx + nxL + x = 0

Add '4' to each side of the equation.
-4 + -6ln + -1lnx + nxL + 4 + x = 0 + 4

Reorder the terms:
-4 + 4 + -6ln + -1lnx + nxL + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -6ln + -1lnx + nxL + x = 0 + 4
-6ln + -1lnx + nxL + x = 0 + 4

Combine like terms: 0 + 4 = 4
-6ln + -1lnx + nxL + x = 4

Add '-1x' to each side of the equation.
-6ln + -1lnx + nxL + x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
-6ln + -1lnx + nxL + 0 = 4 + -1x
-6ln + -1lnx + nxL = 4 + -1x

Reorder the terms:
-4 + -6ln + -1lnx + nxL + x = 4 + -1x + -4 + x

Reorder the terms:
-4 + -6ln + -1lnx + nxL + x = 4 + -4 + -1x + x

Combine like terms: 4 + -4 = 0
-4 + -6ln + -1lnx + nxL + x = 0 + -1x + x
-4 + -6ln + -1lnx + nxL + x = -1x + x

Combine like terms: -1x + x = 0
-4 + -6ln + -1lnx + nxL + x = 0

The solution to this equation could not be determined.