51+(x-5)+(y-6)=180

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Solution for 51+(x-5)+(y-6)=180 equation:


Simplifying
51 + (x + -5) + (y + -6) = 180

Reorder the terms:
51 + (-5 + x) + (y + -6) = 180

Remove parenthesis around (-5 + x)
51 + -5 + x + (y + -6) = 180

Reorder the terms:
51 + -5 + x + (-6 + y) = 180

Remove parenthesis around (-6 + y)
51 + -5 + x + -6 + y = 180

Reorder the terms:
51 + -5 + -6 + x + y = 180

Combine like terms: 51 + -5 = 46
46 + -6 + x + y = 180

Combine like terms: 46 + -6 = 40
40 + x + y = 180

Solving
40 + x + y = 180

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + x + -40 + y = 180 + -40

Reorder the terms:
40 + -40 + x + y = 180 + -40

Combine like terms: 40 + -40 = 0
0 + x + y = 180 + -40
x + y = 180 + -40

Combine like terms: 180 + -40 = 140
x + y = 140

Add '-1y' to each side of the equation.
x + y + -1y = 140 + -1y

Combine like terms: y + -1y = 0
x + 0 = 140 + -1y
x = 140 + -1y

Simplifying
x = 140 + -1y

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