6a+3=2a-6

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

Simplifying
6a + 3 = 2a + -6

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

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

Solving
3 + 6a = -6 + 2a

Solving for variable 'a'.

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

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

Combine like terms: 6a + -2a = 4a
3 + 4a = -6 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 4a = -6 + 0
3 + 4a = -6

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

Combine like terms: 3 + -3 = 0
0 + 4a = -6 + -3
4a = -6 + -3

Combine like terms: -6 + -3 = -9
4a = -9

Divide each side by '4'.
a = -2.25

Simplifying
a = -2.25