3x+8+5x-20+(2*(5x+4y))=360

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Solution for 3x+8+5x-20+(2*(5x+4y))=360 equation:


Simplifying
3x + 8 + 5x + -20 + (2(5x + 4y)) = 360
3x + 8 + 5x + -20 + ((5x * 2 + 4y * 2)) = 360
3x + 8 + 5x + -20 + ((10x + 8y)) = 360
3x + 8 + 5x + -20 + (10x + 8y) = 360

Remove parenthesis around (10x + 8y)
3x + 8 + 5x + -20 + 10x + 8y = 360

Reorder the terms:
8 + -20 + 3x + 5x + 10x + 8y = 360

Combine like terms: 8 + -20 = -12
-12 + 3x + 5x + 10x + 8y = 360

Combine like terms: 3x + 5x = 8x
-12 + 8x + 10x + 8y = 360

Combine like terms: 8x + 10x = 18x
-12 + 18x + 8y = 360

Solving
-12 + 18x + 8y = 360

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 18x + 12 + 8y = 360 + 12

Reorder the terms:
-12 + 12 + 18x + 8y = 360 + 12

Combine like terms: -12 + 12 = 0
0 + 18x + 8y = 360 + 12
18x + 8y = 360 + 12

Combine like terms: 360 + 12 = 372
18x + 8y = 372

Add '-8y' to each side of the equation.
18x + 8y + -8y = 372 + -8y

Combine like terms: 8y + -8y = 0
18x + 0 = 372 + -8y
18x = 372 + -8y

Divide each side by '18'.
x = 20.66666667 + -0.4444444444y

Simplifying
x = 20.66666667 + -0.4444444444y

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