2e^5x+6=10

Solution for 2e^5x+6=10 equation:

Simplifying
2e5x + 6 = 10

Reorder the terms:
6 + 2e5x = 10

Solving
6 + 2e5x = 10

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + -6 + 2e5x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2e5x = 10 + -6
2e5x = 10 + -6

Combine like terms: 10 + -6 = 4
2e5x = 4

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

Simplifying
e5 = 2x-1

Combine like terms: 2x-1 + -2x-1 = 0
e5 + -2x-1 = 0

Factor out the Greatest Common Factor (GCF), 'x-1'.
x-1(e5x + -2) = 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 + -2)' equal to zero and attempt to solve:

Simplifying
e5x + -2 = 0

Reorder the terms:
-2 + e5x = 0

Solving
-2 + e5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + e5x = 0 + 2

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

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

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

Simplifying
e5 = 2x-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.