2(a+3)-3(a-5)+7a-12=

Solution for 2(a+3)-3(a-5)+7a-12= equation:

Simplifying
2(a + 3) + -3(a + -5) + 7a + -12 = 0

Reorder the terms:
2(3 + a) + -3(a + -5) + 7a + -12 = 0
(3 * 2 + a * 2) + -3(a + -5) + 7a + -12 = 0
(6 + 2a) + -3(a + -5) + 7a + -12 = 0

Reorder the terms:
6 + 2a + -3(-5 + a) + 7a + -12 = 0
6 + 2a + (-5 * -3 + a * -3) + 7a + -12 = 0
6 + 2a + (15 + -3a) + 7a + -12 = 0

Reorder the terms:
6 + 15 + -12 + 2a + -3a + 7a = 0

Combine like terms: 6 + 15 = 21
21 + -12 + 2a + -3a + 7a = 0

Combine like terms: 21 + -12 = 9
9 + 2a + -3a + 7a = 0

Combine like terms: 2a + -3a = -1a
9 + -1a + 7a = 0

Combine like terms: -1a + 7a = 6a
9 + 6a = 0

Solving
9 + 6a = 0

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + 6a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 6a = 0 + -9
6a = 0 + -9

Combine like terms: 0 + -9 = -9
6a = -9

Divide each side by '6'.
a = -1.5

Simplifying
a = -1.5