6*sinh(2x)+7=8*cosh(2x)

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Solution for 6*sinh(2x)+7=8*cosh(2x) equation:


Simplifying
6sinh(2x) + 7 = 8cosh(2x)

Remove parenthesis around (2x)
6hins * 2x + 7 = 8cosh(2x)

Reorder the terms for easier multiplication:
6 * 2hins * x + 7 = 8cosh(2x)

Multiply 6 * 2
12hins * x + 7 = 8cosh(2x)

Multiply hins * x
12hinsx + 7 = 8cosh(2x)

Reorder the terms:
7 + 12hinsx = 8cosh(2x)

Remove parenthesis around (2x)
7 + 12hinsx = 8chos * 2x

Reorder the terms for easier multiplication:
7 + 12hinsx = 8 * 2chos * x

Multiply 8 * 2
7 + 12hinsx = 16chos * x

Multiply chos * x
7 + 12hinsx = 16chosx

Solving
7 + 12hinsx = 16chosx

Solving for variable 'h'.

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

Add '-16chosx' to each side of the equation.
7 + -16chosx + 12hinsx = 16chosx + -16chosx

Combine like terms: 16chosx + -16chosx = 0
7 + -16chosx + 12hinsx = 0

Add '-7' to each side of the equation.
7 + -16chosx + -7 + 12hinsx = 0 + -7

Reorder the terms:
7 + -7 + -16chosx + 12hinsx = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -16chosx + 12hinsx = 0 + -7
-16chosx + 12hinsx = 0 + -7

Combine like terms: 0 + -7 = -7
-16chosx + 12hinsx = -7

Reorder the terms:
7 + -16chosx + 12hinsx = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -16chosx + 12hinsx = 0

The solution to this equation could not be determined.

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