6(3a+1)=3(2a-4)

Solution for 6(3a+1)=3(2a-4) equation:

Simplifying
6(3a + 1) = 3(2a + -4)

Reorder the terms:
6(1 + 3a) = 3(2a + -4)
(1 * 6 + 3a * 6) = 3(2a + -4)
(6 + 18a) = 3(2a + -4)

Reorder the terms:
6 + 18a = 3(-4 + 2a)
6 + 18a = (-4 * 3 + 2a * 3)
6 + 18a = (-12 + 6a)

Solving
6 + 18a = -12 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
6 + 18a + -6a = -12 + 6a + -6a

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

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

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

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

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

Divide each side by '12'.
a = -1.5

Simplifying
a = -1.5