6(a+12)+3=3(10-3a)

Solution for 6(a+12)+3=3(10-3a) equation:

Simplifying
6(a + 12) + 3 = 3(10 + -3a)

Reorder the terms:
6(12 + a) + 3 = 3(10 + -3a)
(12 * 6 + a * 6) + 3 = 3(10 + -3a)
(72 + 6a) + 3 = 3(10 + -3a)

Reorder the terms:
72 + 3 + 6a = 3(10 + -3a)

Combine like terms: 72 + 3 = 75
75 + 6a = 3(10 + -3a)
75 + 6a = (10 * 3 + -3a * 3)
75 + 6a = (30 + -9a)

Solving
75 + 6a = 30 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
75 + 6a + 9a = 30 + -9a + 9a

Combine like terms: 6a + 9a = 15a
75 + 15a = 30 + -9a + 9a

Combine like terms: -9a + 9a = 0
75 + 15a = 30 + 0
75 + 15a = 30

Add '-75' to each side of the equation.
75 + -75 + 15a = 30 + -75

Combine like terms: 75 + -75 = 0
0 + 15a = 30 + -75
15a = 30 + -75

Combine like terms: 30 + -75 = -45
15a = -45

Divide each side by '15'.
a = -3

Simplifying
a = -3