4a+6=5a+9

Solution for 4a+6=5a+9 equation:

Simplifying
4a + 6 = 5a + 9

Reorder the terms:
6 + 4a = 5a + 9

Reorder the terms:
6 + 4a = 9 + 5a

Solving
6 + 4a = 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 + 4a + -5a = 9 + 5a + -5a

Combine like terms: 4a + -5a = -1a
6 + -1a = 9 + 5a + -5a

Combine like terms: 5a + -5a = 0
6 + -1a = 9 + 0
6 + -1a = 9

Add '-6' to each side of the equation.
6 + -6 + -1a = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 9 + -6
-1a = 9 + -6

Combine like terms: 9 + -6 = 3
-1a = 3

Divide each side by '-1'.
a = -3

Simplifying
a = -3