-2a+6=a-3

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

Simplifying
-2a + 6 = a + -3

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

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

Solving
6 + -2a = -3 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + -2a + -1a = -3 + a + -1a

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

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

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

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

Combine like terms: -3 + -6 = -9
-3a = -9

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

Simplifying
a = 3