82=2(1+5a)

Solution for 82=2(1+5a) equation:

Simplifying
82 = 2(1 + 5a)
82 = (1 * 2 + 5a * 2)
82 = (2 + 10a)

Solving
82 = 2 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
82 + -10a = 2 + 10a + -10a

Combine like terms: 10a + -10a = 0
82 + -10a = 2 + 0
82 + -10a = 2

Add '-82' to each side of the equation.
82 + -82 + -10a = 2 + -82

Combine like terms: 82 + -82 = 0
0 + -10a = 2 + -82
-10a = 2 + -82

Combine like terms: 2 + -82 = -80
-10a = -80

Divide each side by '-10'.
a = 8

Simplifying
a = 8