4x+(x+9)+(x+45)=180

Solution for 4x+(x+9)+(x+45)=180 equation:

Simplifying
4x + (x + 9) + (x + 45) = 180

Reorder the terms:
4x + (9 + x) + (x + 45) = 180

Remove parenthesis around (9 + x)
4x + 9 + x + (x + 45) = 180

Reorder the terms:
4x + 9 + x + (45 + x) = 180

Remove parenthesis around (45 + x)
4x + 9 + x + 45 + x = 180

Reorder the terms:
9 + 45 + 4x + x + x = 180

Combine like terms: 9 + 45 = 54
54 + 4x + x + x = 180

Combine like terms: 4x + x = 5x
54 + 5x + x = 180

Combine like terms: 5x + x = 6x
54 + 6x = 180

Solving
54 + 6x = 180

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 6x = 180 + -54

Combine like terms: 54 + -54 = 0
0 + 6x = 180 + -54
6x = 180 + -54

Combine like terms: 180 + -54 = 126
6x = 126

Divide each side by '6'.
x = 21

Simplifying
x = 21