4a-3=5a+6

Solution for 4a-3=5a+6 equation:

Simplifying
4a + -3 = 5a + 6

Reorder the terms:
-3 + 4a = 5a + 6

Reorder the terms:
-3 + 4a = 6 + 5a

Solving
-3 + 4a = 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.
-3 + 4a + -5a = 6 + 5a + -5a

Combine like terms: 4a + -5a = -1a
-3 + -1a = 6 + 5a + -5a

Combine like terms: 5a + -5a = 0
-3 + -1a = 6 + 0
-3 + -1a = 6

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

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

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

Divide each side by '-1'.
a = -9

Simplifying
a = -9