x-0.2=ln(1+x)

Solution for x-0.2=ln(1+x) equation:

Simplifying
x + -0.2 = ln(1 + x)

Reorder the terms:
-0.2 + x = ln(1 + x)
-0.2 + x = (1 * ln + x * ln)
-0.2 + x = (1ln + lnx)

Solving
-0.2 + x = 1ln + lnx

Solving for variable 'x'.

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

Add '-1lnx' to each side of the equation.
-0.2 + -1lnx + x = 1ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-0.2 + -1lnx + x = 1ln + 0
-0.2 + -1lnx + x = 1ln

Add '0.2' to each side of the equation.
-0.2 + -1lnx + 0.2 + x = 0.2 + 1ln

Reorder the terms:
-0.2 + 0.2 + -1lnx + x = 0.2 + 1ln

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -1lnx + x = 0.2 + 1ln
-1lnx + x = 0.2 + 1ln

Reorder the terms:
-0.2 + -1ln + -1lnx + x = 0.2 + 1ln + -0.2 + -1ln

Reorder the terms:
-0.2 + -1ln + -1lnx + x = 0.2 + -0.2 + 1ln + -1ln

Combine like terms: 0.2 + -0.2 = 0.0
-0.2 + -1ln + -1lnx + x = 0.0 + 1ln + -1ln
-0.2 + -1ln + -1lnx + x = 1ln + -1ln

Combine like terms: 1ln + -1ln = 0
-0.2 + -1ln + -1lnx + x = 0

The solution to this equation could not be determined.