2a+6=a+12

Solution for 2a+6=a+12 equation:

Simplifying
2a + 6 = a + 12

Reorder the terms:
6 + 2a = a + 12

Reorder the terms:
6 + 2a = 12 + a

Solving
6 + 2a = 12 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 2a + -1a = 12 + a + -1a

Combine like terms: 2a + -1a = 1a
6 + 1a = 12 + a + -1a

Combine like terms: a + -1a = 0
6 + 1a = 12 + 0
6 + 1a = 12

Add '-6' to each side of the equation.
6 + -6 + 1a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 1a = 12 + -6
1a = 12 + -6

Combine like terms: 12 + -6 = 6
1a = 6

Divide each side by '1'.
a = 6

Simplifying
a = 6