10y+x=10x+y+36

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Solution for 10y+x=10x+y+36 equation:


Simplifying
10y + x = 10x + y + 36

Reorder the terms:
x + 10y = 10x + y + 36

Reorder the terms:
x + 10y = 36 + 10x + y

Solving
x + 10y = 36 + 10x + y

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
x + -10x + 10y = 36 + 10x + -10x + y

Combine like terms: x + -10x = -9x
-9x + 10y = 36 + 10x + -10x + y

Combine like terms: 10x + -10x = 0
-9x + 10y = 36 + 0 + y
-9x + 10y = 36 + y

Add '-10y' to each side of the equation.
-9x + 10y + -10y = 36 + y + -10y

Combine like terms: 10y + -10y = 0
-9x + 0 = 36 + y + -10y
-9x = 36 + y + -10y

Combine like terms: y + -10y = -9y
-9x = 36 + -9y

Divide each side by '-9'.
x = -4 + y

Simplifying
x = -4 + y

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