x=5+ln(4x+7)

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Solution for x=5+ln(4x+7) equation:


Simplifying
x = 5 + ln(4x + 7)

Reorder the terms:
x = 5 + ln(7 + 4x)
x = 5 + (7 * ln + 4x * ln)
x = 5 + (7ln + 4lnx)

Solving
x = 5 + 7ln + 4lnx

Solving for variable 'x'.

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

Add '-4lnx' to each side of the equation.
-4lnx + x = 5 + 7ln + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-4lnx + x = 5 + 7ln + 0
-4lnx + x = 5 + 7ln

Reorder the terms:
-5 + -7ln + -4lnx + x = 5 + 7ln + -5 + -7ln

Reorder the terms:
-5 + -7ln + -4lnx + x = 5 + -5 + 7ln + -7ln

Combine like terms: 5 + -5 = 0
-5 + -7ln + -4lnx + x = 0 + 7ln + -7ln
-5 + -7ln + -4lnx + x = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
-5 + -7ln + -4lnx + x = 0

The solution to this equation could not be determined.

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