(5x-9)=(3x+y)

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Solution for (5x-9)=(3x+y) equation:


Simplifying
(5x + -9) = (3x + y)

Reorder the terms:
(-9 + 5x) = (3x + y)

Remove parenthesis around (-9 + 5x)
-9 + 5x = (3x + y)

Remove parenthesis around (3x + y)
-9 + 5x = 3x + y

Solving
-9 + 5x = 3x + y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + 5x + -3x = 3x + -3x + y

Combine like terms: 5x + -3x = 2x
-9 + 2x = 3x + -3x + y

Combine like terms: 3x + -3x = 0
-9 + 2x = 0 + y
-9 + 2x = y

Add '9' to each side of the equation.
-9 + 9 + 2x = 9 + y

Combine like terms: -9 + 9 = 0
0 + 2x = 9 + y
2x = 9 + y

Divide each side by '2'.
x = 4.5 + 0.5y

Simplifying
x = 4.5 + 0.5y

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