2x+3y=5x-2y+7

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Solution for 2x+3y=5x-2y+7 equation:


Simplifying
2x + 3y = 5x + -2y + 7

Reorder the terms:
2x + 3y = 7 + 5x + -2y

Solving
2x + 3y = 7 + 5x + -2y

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.
2x + -5x + 3y = 7 + 5x + -5x + -2y

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

Combine like terms: 5x + -5x = 0
-3x + 3y = 7 + 0 + -2y
-3x + 3y = 7 + -2y

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

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

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

Divide each side by '-3'.
x = -2.333333333 + 1.666666667y

Simplifying
x = -2.333333333 + 1.666666667y

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