2a+6=-3a+2

Solution for 2a+6=-3a+2 equation:

Simplifying
2a + 6 = -3a + 2

Reorder the terms:
6 + 2a = -3a + 2

Reorder the terms:
6 + 2a = 2 + -3a

Solving
6 + 2a = 2 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
6 + 2a + 3a = 2 + -3a + 3a

Combine like terms: 2a + 3a = 5a
6 + 5a = 2 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 5a = 2 + 0
6 + 5a = 2

Add '-6' to each side of the equation.
6 + -6 + 5a = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 2 + -6
5a = 2 + -6

Combine like terms: 2 + -6 = -4
5a = -4

Divide each side by '5'.
a = -0.8

Simplifying
a = -0.8