82=2(6a+5)

Solution for 82=2(6a+5) equation:

Simplifying
82 = 2(6a + 5)

Reorder the terms:
82 = 2(5 + 6a)
82 = (5 * 2 + 6a * 2)
82 = (10 + 12a)

Solving
82 = 10 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
82 + -12a = 10 + 12a + -12a

Combine like terms: 12a + -12a = 0
82 + -12a = 10 + 0
82 + -12a = 10

Add '-82' to each side of the equation.
82 + -82 + -12a = 10 + -82

Combine like terms: 82 + -82 = 0
0 + -12a = 10 + -82
-12a = 10 + -82

Combine like terms: 10 + -82 = -72
-12a = -72

Divide each side by '-12'.
a = 6

Simplifying
a = 6