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

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

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

Reorder the terms:
3(2 + 4a) = 2(a + -2)
(2 * 3 + 4a * 3) = 2(a + -2)
(6 + 12a) = 2(a + -2)

Reorder the terms:
6 + 12a = 2(-2 + a)
6 + 12a = (-2 * 2 + a * 2)
6 + 12a = (-4 + 2a)

Solving
6 + 12a = -4 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 12a + -2a = -4 + 2a + -2a

Combine like terms: 12a + -2a = 10a
6 + 10a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 10a = -4 + 0
6 + 10a = -4

Add '-6' to each side of the equation.
6 + -6 + 10a = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 10a = -4 + -6
10a = -4 + -6

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

Divide each side by '10'.
a = -1

Simplifying
a = -1