X+(x+10)+(3x-6)+(2x+8)=360

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Solution for X+(x+10)+(3x-6)+(2x+8)=360 equation:


Simplifying
X + (x + 10) + (3x + -6) + (2x + 8) = 360

Reorder the terms:
X + (10 + x) + (3x + -6) + (2x + 8) = 360

Remove parenthesis around (10 + x)
X + 10 + x + (3x + -6) + (2x + 8) = 360

Reorder the terms:
X + 10 + x + (-6 + 3x) + (2x + 8) = 360

Remove parenthesis around (-6 + 3x)
X + 10 + x + -6 + 3x + (2x + 8) = 360

Reorder the terms:
X + 10 + x + -6 + 3x + (8 + 2x) = 360

Remove parenthesis around (8 + 2x)
X + 10 + x + -6 + 3x + 8 + 2x = 360

Reorder the terms:
10 + -6 + 8 + X + x + 3x + 2x = 360

Combine like terms: 10 + -6 = 4
4 + 8 + X + x + 3x + 2x = 360

Combine like terms: 4 + 8 = 12
12 + X + x + 3x + 2x = 360

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

Combine like terms: 4x + 2x = 6x
12 + X + 6x = 360

Solving
12 + X + 6x = 360

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + X + -12 + 6x = 360 + -12

Reorder the terms:
12 + -12 + X + 6x = 360 + -12

Combine like terms: 12 + -12 = 0
0 + X + 6x = 360 + -12
X + 6x = 360 + -12

Combine like terms: 360 + -12 = 348
X + 6x = 348

Add '-6x' to each side of the equation.
X + 6x + -6x = 348 + -6x

Combine like terms: 6x + -6x = 0
X + 0 = 348 + -6x
X = 348 + -6x

Simplifying
X = 348 + -6x

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