2(a+6)=3a

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

Simplifying
2(a + 6) = 3a

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

Solving
12 + 2a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
12 + 2a + -3a = 3a + -3a

Combine like terms: 2a + -3a = -1a
12 + -1a = 3a + -3a

Combine like terms: 3a + -3a = 0
12 + -1a = 0

Add '-12' to each side of the equation.
12 + -12 + -1a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1a = 0 + -12
-1a = 0 + -12

Combine like terms: 0 + -12 = -12
-1a = -12

Divide each side by '-1'.
a = 12

Simplifying
a = 12