4a+a-6=3a+5

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

Simplifying
4a + a + -6 = 3a + 5

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

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

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

Solving
-6 + 5a = 5 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-6 + 5a + -3a = 5 + 3a + -3a

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

Combine like terms: 3a + -3a = 0
-6 + 2a = 5 + 0
-6 + 2a = 5

Add '6' to each side of the equation.
-6 + 6 + 2a = 5 + 6

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

Combine like terms: 5 + 6 = 11
2a = 11

Divide each side by '2'.
a = 5.5

Simplifying
a = 5.5