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

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


Simplifying
lnx + -1ln(x + 2) + (2x + -3) = 0

Reorder the terms:
lnx + -1ln(2 + x) + (2x + -3) = 0
lnx + (2 * -1ln + x * -1ln) + (2x + -3) = 0
lnx + (-2ln + -1lnx) + (2x + -3) = 0

Reorder the terms:
lnx + -2ln + -1lnx + (-3 + 2x) = 0

Remove parenthesis around (-3 + 2x)
lnx + -2ln + -1lnx + -3 + 2x = 0

Reorder the terms:
-3 + -2ln + lnx + -1lnx + 2x = 0

Combine like terms: lnx + -1lnx = 0
-3 + -2ln + 0 + 2x = 0
-3 + -2ln + 2x = 0

Solving
-3 + -2ln + 2x = 0

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + -2ln + 3 + 2x = 0 + 3

Reorder the terms:
-3 + 3 + -2ln + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2ln + 2x = 0 + 3
-2ln + 2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2ln + 2x = 3

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

Combine like terms: 2x + -2x = 0
-2ln + 0 = 3 + -2x
-2ln = 3 + -2x

Divide each side by '-2n'.
l = -1.5n-1 + n-1x

Simplifying
l = -1.5n-1 + n-1x

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