8a+3(2-a)=82

Solution for 8a+3(2-a)=82 equation:

Simplifying
8a + 3(2 + -1a) = 82
8a + (2 * 3 + -1a * 3) = 82
8a + (6 + -3a) = 82

Reorder the terms:
6 + 8a + -3a = 82

Combine like terms: 8a + -3a = 5a
6 + 5a = 82

Solving
6 + 5a = 82

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 + 5a = 82 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 82 + -6
5a = 82 + -6

Combine like terms: 82 + -6 = 76
5a = 76

Divide each side by '5'.
a = 15.2

Simplifying
a = 15.2