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