(a)+(4a)+(5a-6)=180

Solution for (a)+(4a)+(5a-6)=180 equation:

Simplifying
(a) + (4a) + (5a + -6) = 180
a + (4a) + (5a + -6) = 180

Reorder the terms:
a + (4a) + (-6 + 5a) = 180

Remove parenthesis around (-6 + 5a)
a + (4a) + -6 + 5a = 180

Reorder the terms:
-6 + a + (4a) + 5a = 180

Combine like terms: a + (4a) = 5a
-6 + 5a + 5a = 180

Combine like terms: 5a + 5a = 10a
-6 + 10a = 180

Solving
-6 + 10a = 180

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 10a = 180 + 6

Combine like terms: -6 + 6 = 0
0 + 10a = 180 + 6
10a = 180 + 6

Combine like terms: 180 + 6 = 186
10a = 186

Divide each side by '10'.
a = 18.6

Simplifying
a = 18.6