(x+27)+(x+35)+(x+46)=360

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Solution for (x+27)+(x+35)+(x+46)=360 equation:


Simplifying
(x + 27) + (x + 35) + (x + 46) = 360

Reorder the terms:
(27 + x) + (x + 35) + (x + 46) = 360

Remove parenthesis around (27 + x)
27 + x + (x + 35) + (x + 46) = 360

Reorder the terms:
27 + x + (35 + x) + (x + 46) = 360

Remove parenthesis around (35 + x)
27 + x + 35 + x + (x + 46) = 360

Reorder the terms:
27 + x + 35 + x + (46 + x) = 360

Remove parenthesis around (46 + x)
27 + x + 35 + x + 46 + x = 360

Reorder the terms:
27 + 35 + 46 + x + x + x = 360

Combine like terms: 27 + 35 = 62
62 + 46 + x + x + x = 360

Combine like terms: 62 + 46 = 108
108 + x + x + x = 360

Combine like terms: x + x = 2x
108 + 2x + x = 360

Combine like terms: 2x + x = 3x
108 + 3x = 360

Solving
108 + 3x = 360

Solving for variable 'x'.

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

Add '-108' to each side of the equation.
108 + -108 + 3x = 360 + -108

Combine like terms: 108 + -108 = 0
0 + 3x = 360 + -108
3x = 360 + -108

Combine like terms: 360 + -108 = 252
3x = 252

Divide each side by '3'.
x = 84

Simplifying
x = 84

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