5y-7x=3x-2

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


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

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

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

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

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

Combine like terms: -7x + -3x = -10x
-10x + 5y = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10x + 5y = -2 + 0
-10x + 5y = -2

Add '-5y' to each side of the equation.
-10x + 5y + -5y = -2 + -5y

Combine like terms: 5y + -5y = 0
-10x + 0 = -2 + -5y
-10x = -2 + -5y

Divide each side by '-10'.
x = 0.2 + 0.5y

Simplifying
x = 0.2 + 0.5y

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