(x-2)+ln(x+4)=ln*7

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Solution for (x-2)+ln(x+4)=ln*7 equation:


Simplifying
(x + -2) + ln(x + 4) = ln * 7

Reorder the terms:
(-2 + x) + ln(x + 4) = ln * 7

Remove parenthesis around (-2 + x)
-2 + x + ln(x + 4) = ln * 7

Reorder the terms:
-2 + x + ln(4 + x) = ln * 7
-2 + x + (4 * ln + x * ln) = ln * 7
-2 + x + (4ln + lnx) = ln * 7

Reorder the terms:
-2 + 4ln + lnx + x = ln * 7

Reorder the terms for easier multiplication:
-2 + 4ln + lnx + x = 7ln

Solving
-2 + 4ln + lnx + x = 7ln

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
-2 + 4ln + lnx + -7ln + x = 7ln + -7ln

Reorder the terms:
-2 + 4ln + -7ln + lnx + x = 7ln + -7ln

Combine like terms: 4ln + -7ln = -3ln
-2 + -3ln + lnx + x = 7ln + -7ln

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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