2(3a+6)-18=4a-2

Solution for 2(3a+6)-18=4a-2 equation:

Simplifying
2(3a + 6) + -18 = 4a + -2

Reorder the terms:
2(6 + 3a) + -18 = 4a + -2
(6 * 2 + 3a * 2) + -18 = 4a + -2
(12 + 6a) + -18 = 4a + -2

Reorder the terms:
12 + -18 + 6a = 4a + -2

Combine like terms: 12 + -18 = -6
-6 + 6a = 4a + -2

Reorder the terms:
-6 + 6a = -2 + 4a

Solving
-6 + 6a = -2 + 4a

Solving for variable 'a'.

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

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

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

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

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

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

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

Divide each side by '2'.
a = 2

Simplifying
a = 2