3a+6+7a=4a-12

Solution for 3a+6+7a=4a-12 equation:

Simplifying
3a + 6 + 7a = 4a + -12

Reorder the terms:
6 + 3a + 7a = 4a + -12

Combine like terms: 3a + 7a = 10a
6 + 10a = 4a + -12

Reorder the terms:
6 + 10a = -12 + 4a

Solving
6 + 10a = -12 + 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 + 10a + -4a = -12 + 4a + -4a

Combine like terms: 10a + -4a = 6a
6 + 6a = -12 + 4a + -4a

Combine like terms: 4a + -4a = 0
6 + 6a = -12 + 0
6 + 6a = -12

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

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

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

Divide each side by '6'.
a = -3

Simplifying
a = -3