x+(x+33)+(3x-38)=855

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Solution for x+(x+33)+(3x-38)=855 equation:


Simplifying
x + (x + 33) + (3x + -38) = 855

Reorder the terms:
x + (33 + x) + (3x + -38) = 855

Remove parenthesis around (33 + x)
x + 33 + x + (3x + -38) = 855

Reorder the terms:
x + 33 + x + (-38 + 3x) = 855

Remove parenthesis around (-38 + 3x)
x + 33 + x + -38 + 3x = 855

Reorder the terms:
33 + -38 + x + x + 3x = 855

Combine like terms: 33 + -38 = -5
-5 + x + x + 3x = 855

Combine like terms: x + x = 2x
-5 + 2x + 3x = 855

Combine like terms: 2x + 3x = 5x
-5 + 5x = 855

Solving
-5 + 5x = 855

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 5x = 855 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 855 + 5
5x = 855 + 5

Combine like terms: 855 + 5 = 860
5x = 860

Divide each side by '5'.
x = 172

Simplifying
x = 172

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