(17x-2y)=(5x+6y)

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Solution for (17x-2y)=(5x+6y) equation:


Simplifying
(17x + -2y) = (5x + 6y)

Remove parenthesis around (17x + -2y)
17x + -2y = (5x + 6y)

Remove parenthesis around (5x + 6y)
17x + -2y = 5x + 6y

Solving
17x + -2y = 5x + 6y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17x + -5x + -2y = 5x + -5x + 6y

Combine like terms: 17x + -5x = 12x
12x + -2y = 5x + -5x + 6y

Combine like terms: 5x + -5x = 0
12x + -2y = 0 + 6y
12x + -2y = 6y

Add '2y' to each side of the equation.
12x + -2y + 2y = 6y + 2y

Combine like terms: -2y + 2y = 0
12x + 0 = 6y + 2y
12x = 6y + 2y

Combine like terms: 6y + 2y = 8y
12x = 8y

Divide each side by '12'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y

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