47=e^7x-12

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Solution for 47=e^7x-12 equation:


Simplifying
47 = e7x + -12

Reorder the terms:
47 = -12 + e7x

Solving
47 = -12 + e7x

Solving for variable 'e'.

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

Add '-1e7x' to each side of the equation.
47 + -1e7x = -12 + e7x + -1e7x

Combine like terms: e7x + -1e7x = 0
47 + -1e7x = -12 + 0
47 + -1e7x = -12

Add '-47' to each side of the equation.
47 + -47 + -1e7x = -12 + -47

Combine like terms: 47 + -47 = 0
0 + -1e7x = -12 + -47
-1e7x = -12 + -47

Combine like terms: -12 + -47 = -59
-1e7x = -59

Divide each side by '-1x'.
e7 = 59x-1

Simplifying
e7 = 59x-1

Combine like terms: 59x-1 + -59x-1 = 0
e7 + -59x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e7x + -59) = 0

Subproblem 1

Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(e7x + -59)' equal to zero and attempt to solve: Simplifying e7x + -59 = 0 Reorder the terms: -59 + e7x = 0 Solving -59 + e7x = 0 Move all terms containing e to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + e7x = 0 + 59 Combine like terms: -59 + 59 = 0 0 + e7x = 0 + 59 e7x = 0 + 59 Combine like terms: 0 + 59 = 59 e7x = 59 Divide each side by 'x'. e7 = 59x-1 Simplifying e7 = 59x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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