3y+x-200+5x-100+y+140=360

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Solution for 3y+x-200+5x-100+y+140=360 equation: 


Simplifying
3y + x + -200 + 5x + -100 + y + 140 = 360

Reorder the terms:
-200 + -100 + 140 + x + 5x + 3y + y = 360

Combine like terms: -200 + -100 = -300
-300 + 140 + x + 5x + 3y + y = 360

Combine like terms: -300 + 140 = -160
-160 + x + 5x + 3y + y = 360

Combine like terms: x + 5x = 6x
-160 + 6x + 3y + y = 360

Combine like terms: 3y + y = 4y
-160 + 6x + 4y = 360

Solving
-160 + 6x + 4y = 360

Solving for variable 'x'.

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

Add '160' to each side of the equation.
-160 + 6x + 160 + 4y = 360 + 160

Reorder the terms:
-160 + 160 + 6x + 4y = 360 + 160

Combine like terms: -160 + 160 = 0
0 + 6x + 4y = 360 + 160
6x + 4y = 360 + 160

Combine like terms: 360 + 160 = 520
6x + 4y = 520

Add '-4y' to each side of the equation.
6x + 4y + -4y = 520 + -4y

Combine like terms: 4y + -4y = 0
6x + 0 = 520 + -4y
6x = 520 + -4y

Divide each side by '6'.
x = 86.66666667 + -0.6666666667y

Simplifying
x = 86.66666667 + -0.6666666667y

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