(3x-7)=ln(2x)

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Solution for (3x-7)=ln(2x) equation:


Simplifying
(3x + -7) = ln(2x)

Reorder the terms:
(-7 + 3x) = ln(2x)

Remove parenthesis around (-7 + 3x)
-7 + 3x = ln(2x)

Remove parenthesis around (2x)
-7 + 3x = ln * 2x

Reorder the terms for easier multiplication:
-7 + 3x = 2ln * x

Multiply ln * x
-7 + 3x = 2lnx

Solving
-7 + 3x = 2lnx

Solving for variable 'x'.

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

Add '-2lnx' to each side of the equation.
-7 + -2lnx + 3x = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-7 + -2lnx + 3x = 0

Add '7' to each side of the equation.
-7 + -2lnx + 7 + 3x = 0 + 7

Reorder the terms:
-7 + 7 + -2lnx + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2lnx + 3x = 0 + 7
-2lnx + 3x = 0 + 7

Combine like terms: 0 + 7 = 7
-2lnx + 3x = 7

Reorder the terms:
-7 + -2lnx + 3x = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -2lnx + 3x = 0

The solution to this equation could not be determined.

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