3(e+2)=e-6

Solution for 3(e+2)=e-6 equation:

Simplifying
3(e + 2) = e + -6

Reorder the terms:
3(2 + e) = e + -6
(2 * 3 + e * 3) = e + -6
(6 + 3e) = e + -6

Reorder the terms:
6 + 3e = -6 + e

Solving
6 + 3e = -6 + 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 + 3e + -1e = -6 + e + -1e

Combine like terms: 3e + -1e = 2e
6 + 2e = -6 + e + -1e

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

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

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

Combine like terms: -6 + -6 = -12
2e = -12

Divide each side by '2'.
e = -6

Simplifying
e = -6