(x+5)+(y-7)=49

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Solution for (x+5)+(y-7)=49 equation:


Simplifying
(x + 5) + (y + -7) = 49

Reorder the terms:
(5 + x) + (y + -7) = 49

Remove parenthesis around (5 + x)
5 + x + (y + -7) = 49

Reorder the terms:
5 + x + (-7 + y) = 49

Remove parenthesis around (-7 + y)
5 + x + -7 + y = 49

Reorder the terms:
5 + -7 + x + y = 49

Combine like terms: 5 + -7 = -2
-2 + x + y = 49

Solving
-2 + x + y = 49

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + x + 2 + y = 49 + 2

Reorder the terms:
-2 + 2 + x + y = 49 + 2

Combine like terms: -2 + 2 = 0
0 + x + y = 49 + 2
x + y = 49 + 2

Combine like terms: 49 + 2 = 51
x + y = 51

Add '-1y' to each side of the equation.
x + y + -1y = 51 + -1y

Combine like terms: y + -1y = 0
x + 0 = 51 + -1y
x = 51 + -1y

Simplifying
x = 51 + -1y

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