3a+6=5a-6

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

Simplifying
3a + 6 = 5a + -6

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

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

Solving
6 + 3a = -6 + 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 = -6 + 5a + -5a

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

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

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

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

Combine like terms: -6 + -6 = -12
-2a = -12

Divide each side by '-2'.
a = 6

Simplifying
a = 6