(x+6)+(x+1)+(4x-9)=180

Solution for (x+6)+(x+1)+(4x-9)=180 equation:

Simplifying
(x + 6) + (x + 1) + (4x + -9) = 180

Reorder the terms:
(6 + x) + (x + 1) + (4x + -9) = 180

Remove parenthesis around (6 + x)
6 + x + (x + 1) + (4x + -9) = 180

Reorder the terms:
6 + x + (1 + x) + (4x + -9) = 180

Remove parenthesis around (1 + x)
6 + x + 1 + x + (4x + -9) = 180

Reorder the terms:
6 + x + 1 + x + (-9 + 4x) = 180

Remove parenthesis around (-9 + 4x)
6 + x + 1 + x + -9 + 4x = 180

Reorder the terms:
6 + 1 + -9 + x + x + 4x = 180

Combine like terms: 6 + 1 = 7
7 + -9 + x + x + 4x = 180

Combine like terms: 7 + -9 = -2
-2 + x + x + 4x = 180

Combine like terms: x + x = 2x
-2 + 2x + 4x = 180

Combine like terms: 2x + 4x = 6x
-2 + 6x = 180

Solving
-2 + 6x = 180

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 6x = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 180 + 2
6x = 180 + 2

Combine like terms: 180 + 2 = 182
6x = 182

Divide each side by '6'.
x = 30.33333333

Simplifying
x = 30.33333333