3x+4x-23+3y+y+74=360

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Solution for 3x+4x-23+3y+y+74=360 equation: 


Simplifying
3x + 4x + -23 + 3y + y + 74 = 360

Reorder the terms:
-23 + 74 + 3x + 4x + 3y + y = 360

Combine like terms: -23 + 74 = 51
51 + 3x + 4x + 3y + y = 360

Combine like terms: 3x + 4x = 7x
51 + 7x + 3y + y = 360

Combine like terms: 3y + y = 4y
51 + 7x + 4y = 360

Solving
51 + 7x + 4y = 360

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + 7x + -51 + 4y = 360 + -51

Reorder the terms:
51 + -51 + 7x + 4y = 360 + -51

Combine like terms: 51 + -51 = 0
0 + 7x + 4y = 360 + -51
7x + 4y = 360 + -51

Combine like terms: 360 + -51 = 309
7x + 4y = 309

Add '-4y' to each side of the equation.
7x + 4y + -4y = 309 + -4y

Combine like terms: 4y + -4y = 0
7x + 0 = 309 + -4y
7x = 309 + -4y

Divide each side by '7'.
x = 44.14285714 + -0.5714285714y

Simplifying
x = 44.14285714 + -0.5714285714y

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