(38-2x)+(16-5x)+(15x+4)+(2x+2)=x

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Solution for (38-2x)+(16-5x)+(15x+4)+(2x+2)=x equation: 


Simplifying
(38 + -2x) + (16 + -5x) + (15x + 4) + (2x + 2) = x

Remove parenthesis around (38 + -2x)
38 + -2x + (16 + -5x) + (15x + 4) + (2x + 2) = x

Remove parenthesis around (16 + -5x)
38 + -2x + 16 + -5x + (15x + 4) + (2x + 2) = x

Reorder the terms:
38 + -2x + 16 + -5x + (4 + 15x) + (2x + 2) = x

Remove parenthesis around (4 + 15x)
38 + -2x + 16 + -5x + 4 + 15x + (2x + 2) = x

Reorder the terms:
38 + -2x + 16 + -5x + 4 + 15x + (2 + 2x) = x

Remove parenthesis around (2 + 2x)
38 + -2x + 16 + -5x + 4 + 15x + 2 + 2x = x

Reorder the terms:
38 + 16 + 4 + 2 + -2x + -5x + 15x + 2x = x

Combine like terms: 38 + 16 = 54
54 + 4 + 2 + -2x + -5x + 15x + 2x = x

Combine like terms: 54 + 4 = 58
58 + 2 + -2x + -5x + 15x + 2x = x

Combine like terms: 58 + 2 = 60
60 + -2x + -5x + 15x + 2x = x

Combine like terms: -2x + -5x = -7x
60 + -7x + 15x + 2x = x

Combine like terms: -7x + 15x = 8x
60 + 8x + 2x = x

Combine like terms: 8x + 2x = 10x
60 + 10x = x

Solving
60 + 10x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
60 + 10x + -1x = x + -1x

Combine like terms: 10x + -1x = 9x
60 + 9x = x + -1x

Combine like terms: x + -1x = 0
60 + 9x = 0

Add '-60' to each side of the equation.
60 + -60 + 9x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 9x = 0 + -60
9x = 0 + -60

Combine like terms: 0 + -60 = -60
9x = -60

Divide each side by '9'.
x = -6.666666667

Simplifying
x = -6.666666667

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