2x+14ln(2)=x-50ln(3)

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Solution for 2x+14ln(2)=x-50ln(3) equation:


Simplifying
2x + 14ln(2) = x + -50ln(3)

Reorder the terms for easier multiplication:
2x + 14 * 2ln = x + -50ln(3)

Multiply 14 * 2
2x + 28ln = x + -50ln(3)

Reorder the terms:
28ln + 2x = x + -50ln(3)

Reorder the terms for easier multiplication:
28ln + 2x = x + -50 * 3ln

Multiply -50 * 3
28ln + 2x = x + -150ln

Reorder the terms:
28ln + 2x = -150ln + x

Solving
28ln + 2x = -150ln + x

Solving for variable 'l'.

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

Add '150ln' to each side of the equation.
28ln + 150ln + 2x = -150ln + 150ln + x

Combine like terms: 28ln + 150ln = 178ln
178ln + 2x = -150ln + 150ln + x

Combine like terms: -150ln + 150ln = 0
178ln + 2x = 0 + x
178ln + 2x = x

Add '-2x' to each side of the equation.
178ln + 2x + -2x = x + -2x

Combine like terms: 2x + -2x = 0
178ln + 0 = x + -2x
178ln = x + -2x

Combine like terms: x + -2x = -1x
178ln = -1x

Divide each side by '178n'.
l = -0.005617977528n-1x

Simplifying
l = -0.005617977528n-1x

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