(3x+5)+(3x+11)+(x-9)+(2x+20)=360

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Solution for (3x+5)+(3x+11)+(x-9)+(2x+20)=360 equation:


Simplifying
(3x + 5) + (3x + 11) + (x + -9) + (2x + 20) = 360

Reorder the terms:
(5 + 3x) + (3x + 11) + (x + -9) + (2x + 20) = 360

Remove parenthesis around (5 + 3x)
5 + 3x + (3x + 11) + (x + -9) + (2x + 20) = 360

Reorder the terms:
5 + 3x + (11 + 3x) + (x + -9) + (2x + 20) = 360

Remove parenthesis around (11 + 3x)
5 + 3x + 11 + 3x + (x + -9) + (2x + 20) = 360

Reorder the terms:
5 + 3x + 11 + 3x + (-9 + x) + (2x + 20) = 360

Remove parenthesis around (-9 + x)
5 + 3x + 11 + 3x + -9 + x + (2x + 20) = 360

Reorder the terms:
5 + 3x + 11 + 3x + -9 + x + (20 + 2x) = 360

Remove parenthesis around (20 + 2x)
5 + 3x + 11 + 3x + -9 + x + 20 + 2x = 360

Reorder the terms:
5 + 11 + -9 + 20 + 3x + 3x + x + 2x = 360

Combine like terms: 5 + 11 = 16
16 + -9 + 20 + 3x + 3x + x + 2x = 360

Combine like terms: 16 + -9 = 7
7 + 20 + 3x + 3x + x + 2x = 360

Combine like terms: 7 + 20 = 27
27 + 3x + 3x + x + 2x = 360

Combine like terms: 3x + 3x = 6x
27 + 6x + x + 2x = 360

Combine like terms: 6x + x = 7x
27 + 7x + 2x = 360

Combine like terms: 7x + 2x = 9x
27 + 9x = 360

Solving
27 + 9x = 360

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 9x = 360 + -27

Combine like terms: 27 + -27 = 0
0 + 9x = 360 + -27
9x = 360 + -27

Combine like terms: 360 + -27 = 333
9x = 333

Divide each side by '9'.
x = 37

Simplifying
x = 37

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