5y-3x+6-7y=7y-9

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Solution for 5y-3x+6-7y=7y-9 equation:


Simplifying
5y + -3x + 6 + -7y = 7y + -9

Reorder the terms:
6 + -3x + 5y + -7y = 7y + -9

Combine like terms: 5y + -7y = -2y
6 + -3x + -2y = 7y + -9

Reorder the terms:
6 + -3x + -2y = -9 + 7y

Solving
6 + -3x + -2y = -9 + 7y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -3x + -6 + -2y = -9 + -6 + 7y

Reorder the terms:
6 + -6 + -3x + -2y = -9 + -6 + 7y

Combine like terms: 6 + -6 = 0
0 + -3x + -2y = -9 + -6 + 7y
-3x + -2y = -9 + -6 + 7y

Combine like terms: -9 + -6 = -15
-3x + -2y = -15 + 7y

Add '2y' to each side of the equation.
-3x + -2y + 2y = -15 + 7y + 2y

Combine like terms: -2y + 2y = 0
-3x + 0 = -15 + 7y + 2y
-3x = -15 + 7y + 2y

Combine like terms: 7y + 2y = 9y
-3x = -15 + 9y

Divide each side by '-3'.
x = 5 + -3y

Simplifying
x = 5 + -3y

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