-4y+7x=-5(y-x)+3

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Solution for -4y+7x=-5(y-x)+3 equation:


Simplifying
-4y + 7x = -5(y + -1x) + 3

Reorder the terms:
7x + -4y = -5(y + -1x) + 3

Reorder the terms:
7x + -4y = -5(-1x + y) + 3
7x + -4y = (-1x * -5 + y * -5) + 3
7x + -4y = (5x + -5y) + 3

Reorder the terms:
7x + -4y = 3 + 5x + -5y

Solving
7x + -4y = 3 + 5x + -5y

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.
7x + -5x + -4y = 3 + 5x + -5x + -5y

Combine like terms: 7x + -5x = 2x
2x + -4y = 3 + 5x + -5x + -5y

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

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

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

Combine like terms: -5y + 4y = -1y
2x = 3 + -1y

Divide each side by '2'.
x = 1.5 + -0.5y

Simplifying
x = 1.5 + -0.5y

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