2x+(3x-8)+(2y-17)=360

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Solution for 2x+(3x-8)+(2y-17)=360 equation: 


Simplifying
2x + (3x + -8) + (2y + -17) = 360

Reorder the terms:
2x + (-8 + 3x) + (2y + -17) = 360

Remove parenthesis around (-8 + 3x)
2x + -8 + 3x + (2y + -17) = 360

Reorder the terms:
2x + -8 + 3x + (-17 + 2y) = 360

Remove parenthesis around (-17 + 2y)
2x + -8 + 3x + -17 + 2y = 360

Reorder the terms:
-8 + -17 + 2x + 3x + 2y = 360

Combine like terms: -8 + -17 = -25
-25 + 2x + 3x + 2y = 360

Combine like terms: 2x + 3x = 5x
-25 + 5x + 2y = 360

Solving
-25 + 5x + 2y = 360

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 5x + 25 + 2y = 360 + 25

Reorder the terms:
-25 + 25 + 5x + 2y = 360 + 25

Combine like terms: -25 + 25 = 0
0 + 5x + 2y = 360 + 25
5x + 2y = 360 + 25

Combine like terms: 360 + 25 = 385
5x + 2y = 385

Add '-2y' to each side of the equation.
5x + 2y + -2y = 385 + -2y

Combine like terms: 2y + -2y = 0
5x + 0 = 385 + -2y
5x = 385 + -2y

Divide each side by '5'.
x = 77 + -0.4y

Simplifying
x = 77 + -0.4y

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