2e-1=5e+5-e

Solution for 2e-1=5e+5-e equation:

Simplifying
2e + -1 = 5e + 5 + -1e

Reorder the terms:
-1 + 2e = 5e + 5 + -1e

Reorder the terms:
-1 + 2e = 5 + 5e + -1e

Combine like terms: 5e + -1e = 4e
-1 + 2e = 5 + 4e

Solving
-1 + 2e = 5 + 4e

Solving for variable 'e'.

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

Add '-4e' to each side of the equation.
-1 + 2e + -4e = 5 + 4e + -4e

Combine like terms: 2e + -4e = -2e
-1 + -2e = 5 + 4e + -4e

Combine like terms: 4e + -4e = 0
-1 + -2e = 5 + 0
-1 + -2e = 5

Add '1' to each side of the equation.
-1 + 1 + -2e = 5 + 1

Combine like terms: -1 + 1 = 0
0 + -2e = 5 + 1
-2e = 5 + 1

Combine like terms: 5 + 1 = 6
-2e = 6

Divide each side by '-2'.
e = -3

Simplifying
e = -3