2x+3y=4x+5y-6

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Solution for 2x+3y=4x+5y-6 equation:


Simplifying
2x + 3y = 4x + 5y + -6

Reorder the terms:
2x + 3y = -6 + 4x + 5y

Solving
2x + 3y = -6 + 4x + 5y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x + 3y = -6 + 4x + -4x + 5y

Combine like terms: 2x + -4x = -2x
-2x + 3y = -6 + 4x + -4x + 5y

Combine like terms: 4x + -4x = 0
-2x + 3y = -6 + 0 + 5y
-2x + 3y = -6 + 5y

Add '-3y' to each side of the equation.
-2x + 3y + -3y = -6 + 5y + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = -6 + 5y + -3y
-2x = -6 + 5y + -3y

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

Divide each side by '-2'.
x = 3 + -1y

Simplifying
x = 3 + -1y

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