(2x+9)+(2x-5)+(x+3)+162+86=360

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Solution for (2x+9)+(2x-5)+(x+3)+162+86=360 equation:


Simplifying
(2x + 9) + (2x + -5) + (x + 3) + 162 + 86 = 360

Reorder the terms:
(9 + 2x) + (2x + -5) + (x + 3) + 162 + 86 = 360

Remove parenthesis around (9 + 2x)
9 + 2x + (2x + -5) + (x + 3) + 162 + 86 = 360

Reorder the terms:
9 + 2x + (-5 + 2x) + (x + 3) + 162 + 86 = 360

Remove parenthesis around (-5 + 2x)
9 + 2x + -5 + 2x + (x + 3) + 162 + 86 = 360

Reorder the terms:
9 + 2x + -5 + 2x + (3 + x) + 162 + 86 = 360

Remove parenthesis around (3 + x)
9 + 2x + -5 + 2x + 3 + x + 162 + 86 = 360

Reorder the terms:
9 + -5 + 3 + 162 + 86 + 2x + 2x + x = 360

Combine like terms: 9 + -5 = 4
4 + 3 + 162 + 86 + 2x + 2x + x = 360

Combine like terms: 4 + 3 = 7
7 + 162 + 86 + 2x + 2x + x = 360

Combine like terms: 7 + 162 = 169
169 + 86 + 2x + 2x + x = 360

Combine like terms: 169 + 86 = 255
255 + 2x + 2x + x = 360

Combine like terms: 2x + 2x = 4x
255 + 4x + x = 360

Combine like terms: 4x + x = 5x
255 + 5x = 360

Solving
255 + 5x = 360

Solving for variable 'x'.

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

Add '-255' to each side of the equation.
255 + -255 + 5x = 360 + -255

Combine like terms: 255 + -255 = 0
0 + 5x = 360 + -255
5x = 360 + -255

Combine like terms: 360 + -255 = 105
5x = 105

Divide each side by '5'.
x = 21

Simplifying
x = 21

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