18+(10x+y)=(10y+x)

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Solution for 18+(10x+y)=(10y+x) equation:


Simplifying
18 + (10x + y) = (10y + x)

Remove parenthesis around (10x + y)
18 + 10x + y = (10y + x)

Reorder the terms:
18 + 10x + y = (x + 10y)

Remove parenthesis around (x + 10y)
18 + 10x + y = x + 10y

Solving
18 + 10x + y = x + 10y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 10x + -1x + y = x + -1x + 10y

Combine like terms: 10x + -1x = 9x
18 + 9x + y = x + -1x + 10y

Combine like terms: x + -1x = 0
18 + 9x + y = 0 + 10y
18 + 9x + y = 10y

Add '-18' to each side of the equation.
18 + 9x + -18 + y = -18 + 10y

Reorder the terms:
18 + -18 + 9x + y = -18 + 10y

Combine like terms: 18 + -18 = 0
0 + 9x + y = -18 + 10y
9x + y = -18 + 10y

Add '-1y' to each side of the equation.
9x + y + -1y = -18 + 10y + -1y

Combine like terms: y + -1y = 0
9x + 0 = -18 + 10y + -1y
9x = -18 + 10y + -1y

Combine like terms: 10y + -1y = 9y
9x = -18 + 9y

Divide each side by '9'.
x = -2 + y

Simplifying
x = -2 + y

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