(4x+2)+(7x+4)+(3x+20)=180

Solution for (4x+2)+(7x+4)+(3x+20)=180 equation:

Simplifying
(4x + 2) + (7x + 4) + (3x + 20) = 180

Reorder the terms:
(2 + 4x) + (7x + 4) + (3x + 20) = 180

Remove parenthesis around (2 + 4x)
2 + 4x + (7x + 4) + (3x + 20) = 180

Reorder the terms:
2 + 4x + (4 + 7x) + (3x + 20) = 180

Remove parenthesis around (4 + 7x)
2 + 4x + 4 + 7x + (3x + 20) = 180

Reorder the terms:
2 + 4x + 4 + 7x + (20 + 3x) = 180

Remove parenthesis around (20 + 3x)
2 + 4x + 4 + 7x + 20 + 3x = 180

Reorder the terms:
2 + 4 + 20 + 4x + 7x + 3x = 180

Combine like terms: 2 + 4 = 6
6 + 20 + 4x + 7x + 3x = 180

Combine like terms: 6 + 20 = 26
26 + 4x + 7x + 3x = 180

Combine like terms: 4x + 7x = 11x
26 + 11x + 3x = 180

Combine like terms: 11x + 3x = 14x
26 + 14x = 180

Solving
26 + 14x = 180

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 14x = 180 + -26

Combine like terms: 26 + -26 = 0
0 + 14x = 180 + -26
14x = 180 + -26

Combine like terms: 180 + -26 = 154
14x = 154

Divide each side by '14'.
x = 11

Simplifying
x = 11