751=1.5x+5y+y+x+(0.5x-17)

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Solution for 751=1.5x+5y+y+x+(0.5x-17) equation:


Simplifying
751 = 1.5x + 5y + y + x + (0.5x + -17)

Reorder the terms:
751 = 1.5x + 5y + y + x + (-17 + 0.5x)

Remove parenthesis around (-17 + 0.5x)
751 = 1.5x + 5y + y + x + -17 + 0.5x

Reorder the terms:
751 = -17 + 1.5x + x + 0.5x + 5y + y

Combine like terms: 1.5x + x = 2.5x
751 = -17 + 2.5x + 0.5x + 5y + y

Combine like terms: 2.5x + 0.5x = 3x
751 = -17 + 3x + 5y + y

Combine like terms: 5y + y = 6y
751 = -17 + 3x + 6y

Solving
751 = -17 + 3x + 6y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
751 + -3x = -17 + 3x + -3x + 6y

Combine like terms: 3x + -3x = 0
751 + -3x = -17 + 0 + 6y
751 + -3x = -17 + 6y

Add '-751' to each side of the equation.
751 + -751 + -3x = -17 + -751 + 6y

Combine like terms: 751 + -751 = 0
0 + -3x = -17 + -751 + 6y
-3x = -17 + -751 + 6y

Combine like terms: -17 + -751 = -768
-3x = -768 + 6y

Divide each side by '-3'.
x = 256 + -2y

Simplifying
x = 256 + -2y

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