2a+6=5a-9

Solution for 2a+6=5a-9 equation:

Simplifying
2a + 6 = 5a + -9

Reorder the terms:
6 + 2a = 5a + -9

Reorder the terms:
6 + 2a = -9 + 5a

Solving
6 + 2a = -9 + 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 + 2a + -5a = -9 + 5a + -5a

Combine like terms: 2a + -5a = -3a
6 + -3a = -9 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -3a = -9 + 0
6 + -3a = -9

Add '-6' to each side of the equation.
6 + -6 + -3a = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3a = -9 + -6
-3a = -9 + -6

Combine like terms: -9 + -6 = -15
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5