6a+3(a-2)=12a+4(6-a)

Solution for 6a+3(a-2)=12a+4(6-a) equation:

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

Reorder the terms:
6a + 3(-2 + a) = 12a + 4(6 + -1a)
6a + (-2 * 3 + a * 3) = 12a + 4(6 + -1a)
6a + (-6 + 3a) = 12a + 4(6 + -1a)

Reorder the terms:
-6 + 6a + 3a = 12a + 4(6 + -1a)

Combine like terms: 6a + 3a = 9a
-6 + 9a = 12a + 4(6 + -1a)
-6 + 9a = 12a + (6 * 4 + -1a * 4)
-6 + 9a = 12a + (24 + -4a)

Reorder the terms:
-6 + 9a = 24 + 12a + -4a

Combine like terms: 12a + -4a = 8a
-6 + 9a = 24 + 8a

Solving
-6 + 9a = 24 + 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 + 9a + -8a = 24 + 8a + -8a

Combine like terms: 9a + -8a = 1a
-6 + 1a = 24 + 8a + -8a

Combine like terms: 8a + -8a = 0
-6 + 1a = 24 + 0
-6 + 1a = 24

Add '6' to each side of the equation.
-6 + 6 + 1a = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = 24 + 6
1a = 24 + 6

Combine like terms: 24 + 6 = 30
1a = 30

Divide each side by '1'.
a = 30

Simplifying
a = 30