(5x+11)+(3x+22)+(9x+28)=180

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Solution for (5x+11)+(3x+22)+(9x+28)=180 equation:


Simplifying
(5x + 11) + (3x + 22) + (9x + 28) = 180

Reorder the terms:
(11 + 5x) + (3x + 22) + (9x + 28) = 180

Remove parenthesis around (11 + 5x)
11 + 5x + (3x + 22) + (9x + 28) = 180

Reorder the terms:
11 + 5x + (22 + 3x) + (9x + 28) = 180

Remove parenthesis around (22 + 3x)
11 + 5x + 22 + 3x + (9x + 28) = 180

Reorder the terms:
11 + 5x + 22 + 3x + (28 + 9x) = 180

Remove parenthesis around (28 + 9x)
11 + 5x + 22 + 3x + 28 + 9x = 180

Reorder the terms:
11 + 22 + 28 + 5x + 3x + 9x = 180

Combine like terms: 11 + 22 = 33
33 + 28 + 5x + 3x + 9x = 180

Combine like terms: 33 + 28 = 61
61 + 5x + 3x + 9x = 180

Combine like terms: 5x + 3x = 8x
61 + 8x + 9x = 180

Combine like terms: 8x + 9x = 17x
61 + 17x = 180

Solving
61 + 17x = 180

Solving for variable 'x'.

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

Add '-61' to each side of the equation.
61 + -61 + 17x = 180 + -61

Combine like terms: 61 + -61 = 0
0 + 17x = 180 + -61
17x = 180 + -61

Combine like terms: 180 + -61 = 119
17x = 119

Divide each side by '17'.
x = 7

Simplifying
x = 7

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