-2(3+6a)=4+2(1-4a)

Solution for -2(3+6a)=4+2(1-4a) equation:

Simplifying
-2(3 + 6a) = 4 + 2(1 + -4a)
(3 * -2 + 6a * -2) = 4 + 2(1 + -4a)
(-6 + -12a) = 4 + 2(1 + -4a)
-6 + -12a = 4 + (1 * 2 + -4a * 2)
-6 + -12a = 4 + (2 + -8a)

Combine like terms: 4 + 2 = 6
-6 + -12a = 6 + -8a

Solving
-6 + -12a = 6 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
-6 + -12a + 8a = 6 + -8a + 8a

Combine like terms: -12a + 8a = -4a
-6 + -4a = 6 + -8a + 8a

Combine like terms: -8a + 8a = 0
-6 + -4a = 6 + 0
-6 + -4a = 6

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

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

Combine like terms: 6 + 6 = 12
-4a = 12

Divide each side by '-4'.
a = -3

Simplifying
a = -3