2(a+3)-7b=a+12b

Solution for 2(a+3)-7b=a+12b equation:

Simplifying
2(a + 3) + -7b = a + 12b

Reorder the terms:
2(3 + a) + -7b = a + 12b
(3 * 2 + a * 2) + -7b = a + 12b
(6 + 2a) + -7b = a + 12b

Solving
6 + 2a + -7b = a + 12b

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 + -7b = a + -1a + 12b

Combine like terms: 2a + -1a = 1a
6 + 1a + -7b = a + -1a + 12b

Combine like terms: a + -1a = 0
6 + 1a + -7b = 0 + 12b
6 + 1a + -7b = 12b

Add '-6' to each side of the equation.
6 + 1a + -6 + -7b = -6 + 12b

Reorder the terms:
6 + -6 + 1a + -7b = -6 + 12b

Combine like terms: 6 + -6 = 0
0 + 1a + -7b = -6 + 12b
1a + -7b = -6 + 12b

Add '7b' to each side of the equation.
1a + -7b + 7b = -6 + 12b + 7b

Combine like terms: -7b + 7b = 0
1a + 0 = -6 + 12b + 7b
1a = -6 + 12b + 7b

Combine like terms: 12b + 7b = 19b
1a = -6 + 19b

Divide each side by '1'.
a = -6 + 19b

Simplifying
a = -6 + 19b