x-10=ln(x+2)

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Solution for x-10=ln(x+2) equation:


Simplifying
x + -10 = ln(x + 2)

Reorder the terms:
-10 + x = ln(x + 2)

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

Solving
-10 + x = 2ln + 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.
-10 + -1lnx + x = 2ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-10 + -1lnx + x = 2ln + 0
-10 + -1lnx + x = 2ln

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

Reorder the terms:
-10 + 10 + -1lnx + x = 10 + 2ln

Combine like terms: -10 + 10 = 0
0 + -1lnx + x = 10 + 2ln
-1lnx + x = 10 + 2ln

Reorder the terms:
-10 + -2ln + -1lnx + x = 10 + 2ln + -10 + -2ln

Reorder the terms:
-10 + -2ln + -1lnx + x = 10 + -10 + 2ln + -2ln

Combine like terms: 10 + -10 = 0
-10 + -2ln + -1lnx + x = 0 + 2ln + -2ln
-10 + -2ln + -1lnx + x = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-10 + -2ln + -1lnx + x = 0

The solution to this equation could not be determined.

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