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

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

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

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

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

Solving
2 + 4e = -6 + 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 = -6 + 2e + -2e

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

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

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

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

Combine like terms: -6 + -2 = -8
2e = -8

Divide each side by '2'.
e = -4

Simplifying
e = -4