2a+3=6-a

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

Simplifying
2a + 3 = 6 + -1a

Reorder the terms:
3 + 2a = 6 + -1a

Solving
3 + 2a = 6 + -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.
3 + 2a + a = 6 + -1a + a

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

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

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

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

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

Divide each side by '3'.
a = 1

Simplifying
a = 1