e^2x-3=x+1

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Solution for e^2x-3=x+1 equation:


Simplifying
e2x + -3 = x + 1

Reorder the terms:
-3 + e2x = x + 1

Reorder the terms:
-3 + e2x = 1 + x

Solving
-3 + e2x = 1 + x

Solving for variable 'e'.

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

Add '3' to each side of the equation.
-3 + 3 + e2x = 1 + 3 + x

Combine like terms: -3 + 3 = 0
0 + e2x = 1 + 3 + x
e2x = 1 + 3 + x

Combine like terms: 1 + 3 = 4
e2x = 4 + x

Divide each side by 'x'.
e2 = 4x-1 + 1

Simplifying
e2 = 4x-1 + 1

Reorder the terms:
e2 = 1 + 4x-1

Reorder the terms:
-1 + e2 + -4x-1 = 1 + 4x-1 + -1 + -4x-1

Reorder the terms:
-1 + e2 + -4x-1 = 1 + -1 + 4x-1 + -4x-1

Combine like terms: 1 + -1 = 0
-1 + e2 + -4x-1 = 0 + 4x-1 + -4x-1
-1 + e2 + -4x-1 = 4x-1 + -4x-1

Combine like terms: 4x-1 + -4x-1 = 0
-1 + e2 + -4x-1 = 0

The solution to this equation could not be determined.

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