2e+6=4e-1

Solution for 2e+6=4e-1 equation:

Simplifying
2e + 6 = 4e + -1

Reorder the terms:
6 + 2e = 4e + -1

Reorder the terms:
6 + 2e = -1 + 4e

Solving
6 + 2e = -1 + 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.
6 + 2e + -4e = -1 + 4e + -4e

Combine like terms: 2e + -4e = -2e
6 + -2e = -1 + 4e + -4e

Combine like terms: 4e + -4e = 0
6 + -2e = -1 + 0
6 + -2e = -1

Add '-6' to each side of the equation.
6 + -6 + -2e = -1 + -6

Combine like terms: 6 + -6 = 0
0 + -2e = -1 + -6
-2e = -1 + -6

Combine like terms: -1 + -6 = -7
-2e = -7

Divide each side by '-2'.
e = 3.5

Simplifying
e = 3.5