3e+6=e-4

Solution for 3e+6=e-4 equation:

Simplifying
3e + 6 = e + -4

Reorder the terms:
6 + 3e = e + -4

Reorder the terms:
6 + 3e = -4 + e

Solving
6 + 3e = -4 + 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 = -4 + e + -1e

Combine like terms: 3e + -1e = 2e
6 + 2e = -4 + e + -1e

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

Add '-6' to each side of the equation.
6 + -6 + 2e = -4 + -6

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

Combine like terms: -4 + -6 = -10
2e = -10

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

Simplifying
e = -5