2a+6=-1a-8

Solution for 2a+6=-1a-8 equation:

Simplifying
2a + 6 = -1a + -8

Reorder the terms:
6 + 2a = -1a + -8

Reorder the terms:
6 + 2a = -8 + -1a

Solving
6 + 2a = -8 + -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.
6 + 2a + a = -8 + -1a + a

Combine like terms: 2a + a = 3a
6 + 3a = -8 + -1a + a

Combine like terms: -1a + a = 0
6 + 3a = -8 + 0
6 + 3a = -8

Add '-6' to each side of the equation.
6 + -6 + 3a = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = -8 + -6
3a = -8 + -6

Combine like terms: -8 + -6 = -14
3a = -14

Divide each side by '3'.
a = -4.666666667

Simplifying
a = -4.666666667