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

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

Simplifying
3(4 + -6a) + -2(1 + 4a) = 2(3 + -3a)
(4 * 3 + -6a * 3) + -2(1 + 4a) = 2(3 + -3a)
(12 + -18a) + -2(1 + 4a) = 2(3 + -3a)
12 + -18a + (1 * -2 + 4a * -2) = 2(3 + -3a)
12 + -18a + (-2 + -8a) = 2(3 + -3a)

Reorder the terms:
12 + -2 + -18a + -8a = 2(3 + -3a)

Combine like terms: 12 + -2 = 10
10 + -18a + -8a = 2(3 + -3a)

Combine like terms: -18a + -8a = -26a
10 + -26a = 2(3 + -3a)
10 + -26a = (3 * 2 + -3a * 2)
10 + -26a = (6 + -6a)

Solving
10 + -26a = 6 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
10 + -26a + 6a = 6 + -6a + 6a

Combine like terms: -26a + 6a = -20a
10 + -20a = 6 + -6a + 6a

Combine like terms: -6a + 6a = 0
10 + -20a = 6 + 0
10 + -20a = 6

Add '-10' to each side of the equation.
10 + -10 + -20a = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -20a = 6 + -10
-20a = 6 + -10

Combine like terms: 6 + -10 = -4
-20a = -4

Divide each side by '-20'.
a = 0.2

Simplifying
a = 0.2