3(2+e)-4e=e+16

Solution for 3(2+e)-4e=e+16 equation:

Simplifying
3(2 + e) + -4e = e + 16
(2 * 3 + e * 3) + -4e = e + 16
(6 + 3e) + -4e = e + 16

Combine like terms: 3e + -4e = -1e
6 + -1e = e + 16

Reorder the terms:
6 + -1e = 16 + e

Solving
6 + -1e = 16 + e

Solving for variable 'e'.

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

Add '-1e' to each side of the equation.
6 + -1e + -1e = 16 + e + -1e

Combine like terms: -1e + -1e = -2e
6 + -2e = 16 + e + -1e

Combine like terms: e + -1e = 0
6 + -2e = 16 + 0
6 + -2e = 16

Add '-6' to each side of the equation.
6 + -6 + -2e = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2e = 16 + -6
-2e = 16 + -6

Combine like terms: 16 + -6 = 10
-2e = 10

Divide each side by '-2'.
e = -5

Simplifying
e = -5