6(1-e)=1+4e

Solution for 6(1-e)=1+4e equation:

Simplifying
6(1 + -1e) = 1 + 4e
(1 * 6 + -1e * 6) = 1 + 4e
(6 + -6e) = 1 + 4e

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

Combine like terms: -6e + -4e = -10e
6 + -10e = 1 + 4e + -4e

Combine like terms: 4e + -4e = 0
6 + -10e = 1 + 0
6 + -10e = 1

Add '-6' to each side of the equation.
6 + -6 + -10e = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -10e = 1 + -6
-10e = 1 + -6

Combine like terms: 1 + -6 = -5
-10e = -5

Divide each side by '-10'.
e = 0.5

Simplifying
e = 0.5