2(lnx-5)=ln(3+x)

Solution for 2(lnx-5)=ln(3+x) equation:

Simplifying
2(lnx + -5) = ln(3 + x)

Reorder the terms:
2(-5 + lnx) = ln(3 + x)
(-5 * 2 + lnx * 2) = ln(3 + x)
(-10 + 2lnx) = ln(3 + x)
-10 + 2lnx = (3 * ln + x * ln)
-10 + 2lnx = (3ln + lnx)

Solving
-10 + 2lnx = 3ln + lnx

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-10 + -3ln + 2lnx = 3ln + -3ln + lnx

Combine like terms: 3ln + -3ln = 0
-10 + -3ln + 2lnx = 0 + lnx
-10 + -3ln + 2lnx = lnx

Add '-1lnx' to each side of the equation.
-10 + -3ln + 2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
-10 + -3ln + 1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-10 + -3ln + 1lnx = 0

Add '10' to each side of the equation.
-10 + -3ln + 10 + 1lnx = 0 + 10

Reorder the terms:
-10 + 10 + -3ln + 1lnx = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3ln + 1lnx = 0 + 10
-3ln + 1lnx = 0 + 10

Combine like terms: 0 + 10 = 10
-3ln + 1lnx = 10

Reorder the terms:
-10 + -3ln + 1lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -3ln + 1lnx = 0

The solution to this equation could not be determined.