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

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

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

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

Reorder the terms:
15 + -12 + 3a = 2(a + -3)

Combine like terms: 15 + -12 = 3
3 + 3a = 2(a + -3)

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

Solving
3 + 3a = -6 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
3 + 3a + -2a = -6 + 2a + -2a

Combine like terms: 3a + -2a = 1a
3 + 1a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 1a = -6 + 0
3 + 1a = -6

Add '-3' to each side of the equation.
3 + -3 + 1a = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 1a = -6 + -3
1a = -6 + -3

Combine like terms: -6 + -3 = -9
1a = -9

Divide each side by '1'.
a = -9

Simplifying
a = -9