3x+y+10x+y+12x-y+15x+6y=360

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Solution for 3x+y+10x+y+12x-y+15x+6y=360 equation: 


Simplifying
3x + y + 10x + y + 12x + -1y + 15x + 6y = 360

Reorder the terms:
3x + 10x + 12x + 15x + y + y + -1y + 6y = 360

Combine like terms: 3x + 10x = 13x
13x + 12x + 15x + y + y + -1y + 6y = 360

Combine like terms: 13x + 12x = 25x
25x + 15x + y + y + -1y + 6y = 360

Combine like terms: 25x + 15x = 40x
40x + y + y + -1y + 6y = 360

Combine like terms: y + y = 2y
40x + 2y + -1y + 6y = 360

Combine like terms: 2y + -1y = 1y
40x + 1y + 6y = 360

Combine like terms: 1y + 6y = 7y
40x + 7y = 360

Solving
40x + 7y = 360

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
40x + 7y + -7y = 360 + -7y

Combine like terms: 7y + -7y = 0
40x + 0 = 360 + -7y
40x = 360 + -7y

Divide each side by '40'.
x = 9 + -0.175y

Simplifying
x = 9 + -0.175y

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