3(2-5a)+4(6a)=12

Solution for 3(2-5a)+4(6a)=12 equation:

Simplifying
3(2 + -5a) + 4(6a) = 12
(2 * 3 + -5a * 3) + 4(6a) = 12
(6 + -15a) + 4(6a) = 12

Remove parenthesis around (6a)
6 + -15a + 4 * 6a = 12

Multiply 4 * 6
6 + -15a + 24a = 12

Combine like terms: -15a + 24a = 9a
6 + 9a = 12

Solving
6 + 9a = 12

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 9a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 9a = 12 + -6
9a = 12 + -6

Combine like terms: 12 + -6 = 6
9a = 6

Divide each side by '9'.
a = 0.6666666667

Simplifying
a = 0.6666666667