6-(4e+4)=3+2(e+2)

Solution for 6-(4e+4)=3+2(e+2) equation:

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

Reorder the terms:
6 + -1(4 + 4e) = 3 + 2(e + 2)
6 + (4 * -1 + 4e * -1) = 3 + 2(e + 2)
6 + (-4 + -4e) = 3 + 2(e + 2)

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

Reorder the terms:
2 + -4e = 3 + 2(2 + e)
2 + -4e = 3 + (2 * 2 + e * 2)
2 + -4e = 3 + (4 + 2e)

Combine like terms: 3 + 4 = 7
2 + -4e = 7 + 2e

Solving
2 + -4e = 7 + 2e

Solving for variable 'e'.

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

Add '-2e' to each side of the equation.
2 + -4e + -2e = 7 + 2e + -2e

Combine like terms: -4e + -2e = -6e
2 + -6e = 7 + 2e + -2e

Combine like terms: 2e + -2e = 0
2 + -6e = 7 + 0
2 + -6e = 7

Add '-2' to each side of the equation.
2 + -2 + -6e = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -6e = 7 + -2
-6e = 7 + -2

Combine like terms: 7 + -2 = 5
-6e = 5

Divide each side by '-6'.
e = -0.8333333333

Simplifying
e = -0.8333333333