X+X+(2x-10)+(5x-100)=360

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Solution for X+X+(2x-10)+(5x-100)=360 equation:


Simplifying
X + X + (2x + -10) + (5x + -100) = 360

Reorder the terms:
X + X + (-10 + 2x) + (5x + -100) = 360

Remove parenthesis around (-10 + 2x)
X + X + -10 + 2x + (5x + -100) = 360

Reorder the terms:
X + X + -10 + 2x + (-100 + 5x) = 360

Remove parenthesis around (-100 + 5x)
X + X + -10 + 2x + -100 + 5x = 360

Reorder the terms:
-10 + -100 + X + X + 2x + 5x = 360

Combine like terms: -10 + -100 = -110
-110 + X + X + 2x + 5x = 360

Combine like terms: X + X = 2X
-110 + 2X + 2x + 5x = 360

Combine like terms: 2x + 5x = 7x
-110 + 2X + 7x = 360

Solving
-110 + 2X + 7x = 360

Solving for variable 'X'.

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

Add '110' to each side of the equation.
-110 + 2X + 110 + 7x = 360 + 110

Reorder the terms:
-110 + 110 + 2X + 7x = 360 + 110

Combine like terms: -110 + 110 = 0
0 + 2X + 7x = 360 + 110
2X + 7x = 360 + 110

Combine like terms: 360 + 110 = 470
2X + 7x = 470

Add '-7x' to each side of the equation.
2X + 7x + -7x = 470 + -7x

Combine like terms: 7x + -7x = 0
2X + 0 = 470 + -7x
2X = 470 + -7x

Divide each side by '2'.
X = 235 + -3.5x

Simplifying
X = 235 + -3.5x

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