3a+6=4-5a

Solution for 3a+6=4-5a equation:

Simplifying
3a + 6 = 4 + -5a

Reorder the terms:
6 + 3a = 4 + -5a

Solving
6 + 3a = 4 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
6 + 3a + 5a = 4 + -5a + 5a

Combine like terms: 3a + 5a = 8a
6 + 8a = 4 + -5a + 5a

Combine like terms: -5a + 5a = 0
6 + 8a = 4 + 0
6 + 8a = 4

Add '-6' to each side of the equation.
6 + -6 + 8a = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 8a = 4 + -6
8a = 4 + -6

Combine like terms: 4 + -6 = -2
8a = -2

Divide each side by '8'.
a = -0.25

Simplifying
a = -0.25