2(a+3)=2-4a

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

Simplifying
2(a + 3) = 2 + -4a

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

Solving
6 + 2a = 2 + -4a

Solving for variable 'a'.

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

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

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

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

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

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

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

Divide each side by '6'.
a = -0.6666666667

Simplifying
a = -0.6666666667