2e^5x+2-18=2

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Solution for 2e^5x+2-18=2 equation: 


Simplifying
2e5x + 2 + -18 = 2

Reorder the terms:
2 + -18 + 2e5x = 2

Combine like terms: 2 + -18 = -16
-16 + 2e5x = 2

Solving
-16 + 2e5x = 2

Solving for variable 'e'.

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

Add '16' to each side of the equation.
-16 + 16 + 2e5x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 2e5x = 2 + 16
2e5x = 2 + 16

Combine like terms: 2 + 16 = 18
2e5x = 18

Divide each side by '2x'.
e5 = 9x-1

Simplifying
e5 = 9x-1

Combine like terms: 9x-1 + -9x-1 = 0
e5 + -9x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -9) = 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 '(e5x + -9)' equal to zero and attempt to solve:

Simplifying
e5x + -9 = 0

Reorder the terms:
-9 + e5x = 0

Solving
-9 + e5x = 0

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

Add '9' to each side of the equation.
-9 + 9 + e5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + e5x = 0 + 9
e5x = 0 + 9

Combine like terms: 0 + 9 = 9
e5x = 9

Divide each side by 'x'.
e5 = 9x-1

Simplifying
e5 = 9x-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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