a+82=-a+4

Solution for a+82=-a+4 equation:

Simplifying
a + 82 = -1a + 4

Reorder the terms:
82 + a = -1a + 4

Reorder the terms:
82 + a = 4 + -1a

Solving
82 + a = 4 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
82 + a + a = 4 + -1a + a

Combine like terms: a + a = 2a
82 + 2a = 4 + -1a + a

Combine like terms: -1a + a = 0
82 + 2a = 4 + 0
82 + 2a = 4

Add '-82' to each side of the equation.
82 + -82 + 2a = 4 + -82

Combine like terms: 82 + -82 = 0
0 + 2a = 4 + -82
2a = 4 + -82

Combine like terms: 4 + -82 = -78
2a = -78

Divide each side by '2'.
a = -39

Simplifying
a = -39