(10x+y)-(10y+x)=72

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Solution for (10x+y)-(10y+x)=72 equation: 


Simplifying
(10x + y) + -1(10y + x) = 72

Remove parenthesis around (10x + y)
10x + y + -1(10y + x) = 72

Reorder the terms:
10x + y + -1(x + 10y) = 72
10x + y + (x * -1 + 10y * -1) = 72
10x + y + (-1x + -10y) = 72

Reorder the terms:
10x + -1x + y + -10y = 72

Combine like terms: 10x + -1x = 9x
9x + y + -10y = 72

Combine like terms: y + -10y = -9y
9x + -9y = 72

Solving
9x + -9y = 72

Solving for variable 'x'.

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

Add '9y' to each side of the equation.
9x + -9y + 9y = 72 + 9y

Combine like terms: -9y + 9y = 0
9x + 0 = 72 + 9y
9x = 72 + 9y

Divide each side by '9'.
x = 8 + y

Simplifying
x = 8 + y

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