3lnx+2=6-lne

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Solution for 3lnx+2=6-lne equation:


Simplifying
3lnx + 2 = 6 + -1lne

Reorder the terms:
2 + 3lnx = 6 + -1lne

Solving
2 + 3lnx = 6 + -1eln

Solving for variable 'l'.

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

Add 'eln' to each side of the equation.
2 + eln + 3lnx = 6 + -1eln + eln

Combine like terms: -1eln + eln = 0
2 + eln + 3lnx = 6 + 0
2 + eln + 3lnx = 6

Add '-2' to each side of the equation.
2 + eln + -2 + 3lnx = 6 + -2

Reorder the terms:
2 + -2 + eln + 3lnx = 6 + -2

Combine like terms: 2 + -2 = 0
0 + eln + 3lnx = 6 + -2
eln + 3lnx = 6 + -2

Combine like terms: 6 + -2 = 4
eln + 3lnx = 4

Reorder the terms:
-4 + eln + 3lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + eln + 3lnx = 0

The solution to this equation could not be determined.

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