(2x+9)+(3x+32)+(x-26)+((3x+32)-(x-26))=360

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Solution for (2x+9)+(3x+32)+(x-26)+((3x+32)-(x-26))=360 equation:


Simplifying
(2x + 9) + (3x + 32) + (x + -26) + ((3x + 32) + -1(x + -26)) = 360

Reorder the terms:
(9 + 2x) + (3x + 32) + (x + -26) + ((3x + 32) + -1(x + -26)) = 360

Remove parenthesis around (9 + 2x)
9 + 2x + (3x + 32) + (x + -26) + ((3x + 32) + -1(x + -26)) = 360

Reorder the terms:
9 + 2x + (32 + 3x) + (x + -26) + ((3x + 32) + -1(x + -26)) = 360

Remove parenthesis around (32 + 3x)
9 + 2x + 32 + 3x + (x + -26) + ((3x + 32) + -1(x + -26)) = 360

Reorder the terms:
9 + 2x + 32 + 3x + (-26 + x) + ((3x + 32) + -1(x + -26)) = 360

Remove parenthesis around (-26 + x)
9 + 2x + 32 + 3x + -26 + x + ((3x + 32) + -1(x + -26)) = 360

Reorder the terms:
9 + 2x + 32 + 3x + -26 + x + ((32 + 3x) + -1(x + -26)) = 360

Remove parenthesis around (32 + 3x)
9 + 2x + 32 + 3x + -26 + x + (32 + 3x + -1(x + -26)) = 360

Reorder the terms:
9 + 2x + 32 + 3x + -26 + x + (32 + 3x + -1(-26 + x)) = 360
9 + 2x + 32 + 3x + -26 + x + (32 + 3x + (-26 * -1 + x * -1)) = 360
9 + 2x + 32 + 3x + -26 + x + (32 + 3x + (26 + -1x)) = 360

Reorder the terms:
9 + 2x + 32 + 3x + -26 + x + (32 + 26 + 3x + -1x) = 360

Combine like terms: 32 + 26 = 58
9 + 2x + 32 + 3x + -26 + x + (58 + 3x + -1x) = 360

Combine like terms: 3x + -1x = 2x
9 + 2x + 32 + 3x + -26 + x + (58 + 2x) = 360

Remove parenthesis around (58 + 2x)
9 + 2x + 32 + 3x + -26 + x + 58 + 2x = 360

Reorder the terms:
9 + 32 + -26 + 58 + 2x + 3x + x + 2x = 360

Combine like terms: 9 + 32 = 41
41 + -26 + 58 + 2x + 3x + x + 2x = 360

Combine like terms: 41 + -26 = 15
15 + 58 + 2x + 3x + x + 2x = 360

Combine like terms: 15 + 58 = 73
73 + 2x + 3x + x + 2x = 360

Combine like terms: 2x + 3x = 5x
73 + 5x + x + 2x = 360

Combine like terms: 5x + x = 6x
73 + 6x + 2x = 360

Combine like terms: 6x + 2x = 8x
73 + 8x = 360

Solving
73 + 8x = 360

Solving for variable 'x'.

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

Add '-73' to each side of the equation.
73 + -73 + 8x = 360 + -73

Combine like terms: 73 + -73 = 0
0 + 8x = 360 + -73
8x = 360 + -73

Combine like terms: 360 + -73 = 287
8x = 287

Divide each side by '8'.
x = 35.875

Simplifying
x = 35.875

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