3(2-a)+4(3-2a)=60

Solution for 3(2-a)+4(3-2a)=60 equation:

Simplifying
3(2 + -1a) + 4(3 + -2a) = 60
(2 * 3 + -1a * 3) + 4(3 + -2a) = 60
(6 + -3a) + 4(3 + -2a) = 60
6 + -3a + (3 * 4 + -2a * 4) = 60
6 + -3a + (12 + -8a) = 60

Reorder the terms:
6 + 12 + -3a + -8a = 60

Combine like terms: 6 + 12 = 18
18 + -3a + -8a = 60

Combine like terms: -3a + -8a = -11a
18 + -11a = 60

Solving
18 + -11a = 60

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + -11a = 60 + -18

Combine like terms: 18 + -18 = 0
0 + -11a = 60 + -18
-11a = 60 + -18

Combine like terms: 60 + -18 = 42
-11a = 42

Divide each side by '-11'.
a = -3.818181818

Simplifying
a = -3.818181818