x+3y+5y+20+2(x+y-1)=360

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Solution for x+3y+5y+20+2(x+y-1)=360 equation:


Simplifying
x + 3y + 5y + 20 + 2(x + y + -1) = 360

Reorder the terms:
x + 3y + 5y + 20 + 2(-1 + x + y) = 360
x + 3y + 5y + 20 + (-1 * 2 + x * 2 + y * 2) = 360
x + 3y + 5y + 20 + (-2 + 2x + 2y) = 360

Reorder the terms:
20 + -2 + x + 2x + 3y + 5y + 2y = 360

Combine like terms: 20 + -2 = 18
18 + x + 2x + 3y + 5y + 2y = 360

Combine like terms: x + 2x = 3x
18 + 3x + 3y + 5y + 2y = 360

Combine like terms: 3y + 5y = 8y
18 + 3x + 8y + 2y = 360

Combine like terms: 8y + 2y = 10y
18 + 3x + 10y = 360

Solving
18 + 3x + 10y = 360

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + 3x + -18 + 10y = 360 + -18

Reorder the terms:
18 + -18 + 3x + 10y = 360 + -18

Combine like terms: 18 + -18 = 0
0 + 3x + 10y = 360 + -18
3x + 10y = 360 + -18

Combine like terms: 360 + -18 = 342
3x + 10y = 342

Add '-10y' to each side of the equation.
3x + 10y + -10y = 342 + -10y

Combine like terms: 10y + -10y = 0
3x + 0 = 342 + -10y
3x = 342 + -10y

Divide each side by '3'.
x = 114 + -3.333333333y

Simplifying
x = 114 + -3.333333333y

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