(-3x-1)-ln(7)=2

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Solution for (-3x-1)-ln(7)=2 equation:


Simplifying
(-3x + -1) + -1ln(7) = 2

Reorder the terms:
(-1 + -3x) + -1ln(7) = 2

Remove parenthesis around (-1 + -3x)
-1 + -3x + -1ln(7) = 2

Reorder the terms for easier multiplication:
-1 + -3x + -1 * 7ln = 2

Multiply -1 * 7
-1 + -3x + -7ln = 2

Reorder the terms:
-1 + -7ln + -3x = 2

Solving
-1 + -7ln + -3x = 2

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + -7ln + 1 + -3x = 2 + 1

Reorder the terms:
-1 + 1 + -7ln + -3x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + -7ln + -3x = 2 + 1
-7ln + -3x = 2 + 1

Combine like terms: 2 + 1 = 3
-7ln + -3x = 3

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

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

Divide each side by '-7n'.
l = -0.4285714286n-1 + -0.4285714286n-1x

Simplifying
l = -0.4285714286n-1 + -0.4285714286n-1x

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