(2x+22)+(x+8)+(3x+42)=180

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Solution for (2x+22)+(x+8)+(3x+42)=180 equation:


Simplifying
(2x + 22) + (x + 8) + (3x + 42) = 180

Reorder the terms:
(22 + 2x) + (x + 8) + (3x + 42) = 180

Remove parenthesis around (22 + 2x)
22 + 2x + (x + 8) + (3x + 42) = 180

Reorder the terms:
22 + 2x + (8 + x) + (3x + 42) = 180

Remove parenthesis around (8 + x)
22 + 2x + 8 + x + (3x + 42) = 180

Reorder the terms:
22 + 2x + 8 + x + (42 + 3x) = 180

Remove parenthesis around (42 + 3x)
22 + 2x + 8 + x + 42 + 3x = 180

Reorder the terms:
22 + 8 + 42 + 2x + x + 3x = 180

Combine like terms: 22 + 8 = 30
30 + 42 + 2x + x + 3x = 180

Combine like terms: 30 + 42 = 72
72 + 2x + x + 3x = 180

Combine like terms: 2x + x = 3x
72 + 3x + 3x = 180

Combine like terms: 3x + 3x = 6x
72 + 6x = 180

Solving
72 + 6x = 180

Solving for variable 'x'.

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

Add '-72' to each side of the equation.
72 + -72 + 6x = 180 + -72

Combine like terms: 72 + -72 = 0
0 + 6x = 180 + -72
6x = 180 + -72

Combine like terms: 180 + -72 = 108
6x = 108

Divide each side by '6'.
x = 18

Simplifying
x = 18

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