(x+10)+(2x+2)+(4x+24)+(3x+2)=360

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Solution for (x+10)+(2x+2)+(4x+24)+(3x+2)=360 equation: 


Simplifying
(x + 10) + (2x + 2) + (4x + 24) + (3x + 2) = 360

Reorder the terms:
(10 + x) + (2x + 2) + (4x + 24) + (3x + 2) = 360

Remove parenthesis around (10 + x)
10 + x + (2x + 2) + (4x + 24) + (3x + 2) = 360

Reorder the terms:
10 + x + (2 + 2x) + (4x + 24) + (3x + 2) = 360

Remove parenthesis around (2 + 2x)
10 + x + 2 + 2x + (4x + 24) + (3x + 2) = 360

Reorder the terms:
10 + x + 2 + 2x + (24 + 4x) + (3x + 2) = 360

Remove parenthesis around (24 + 4x)
10 + x + 2 + 2x + 24 + 4x + (3x + 2) = 360

Reorder the terms:
10 + x + 2 + 2x + 24 + 4x + (2 + 3x) = 360

Remove parenthesis around (2 + 3x)
10 + x + 2 + 2x + 24 + 4x + 2 + 3x = 360

Reorder the terms:
10 + 2 + 24 + 2 + x + 2x + 4x + 3x = 360

Combine like terms: 10 + 2 = 12
12 + 24 + 2 + x + 2x + 4x + 3x = 360

Combine like terms: 12 + 24 = 36
36 + 2 + x + 2x + 4x + 3x = 360

Combine like terms: 36 + 2 = 38
38 + x + 2x + 4x + 3x = 360

Combine like terms: x + 2x = 3x
38 + 3x + 4x + 3x = 360

Combine like terms: 3x + 4x = 7x
38 + 7x + 3x = 360

Combine like terms: 7x + 3x = 10x
38 + 10x = 360

Solving
38 + 10x = 360

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 10x = 360 + -38

Combine like terms: 38 + -38 = 0
0 + 10x = 360 + -38
10x = 360 + -38

Combine like terms: 360 + -38 = 322
10x = 322

Divide each side by '10'.
x = 32.2

Simplifying
x = 32.2

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