-e+2(3+e)=-4(e+1)

Solution for -e+2(3+e)=-4(e+1) equation:

Simplifying
-1e + 2(3 + e) = -4(e + 1)
-1e + (3 * 2 + e * 2) = -4(e + 1)
-1e + (6 + 2e) = -4(e + 1)

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

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

Reorder the terms:
6 + 1e = -4(1 + e)
6 + 1e = (1 * -4 + e * -4)
6 + 1e = (-4 + -4e)

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

Combine like terms: 1e + 4e = 5e
6 + 5e = -4 + -4e + 4e

Combine like terms: -4e + 4e = 0
6 + 5e = -4 + 0
6 + 5e = -4

Add '-6' to each side of the equation.
6 + -6 + 5e = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5e = -4 + -6
5e = -4 + -6

Combine like terms: -4 + -6 = -10
5e = -10

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

Simplifying
e = -2