4y-3x=13-2x+y

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Solution for 4y-3x=13-2x+y equation:


Simplifying
4y + -3x = 13 + -2x + y

Reorder the terms:
-3x + 4y = 13 + -2x + y

Solving
-3x + 4y = 13 + -2x + y

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3x + 2x + 4y = 13 + -2x + 2x + y

Combine like terms: -3x + 2x = -1x
-1x + 4y = 13 + -2x + 2x + y

Combine like terms: -2x + 2x = 0
-1x + 4y = 13 + 0 + y
-1x + 4y = 13 + y

Add '-4y' to each side of the equation.
-1x + 4y + -4y = 13 + y + -4y

Combine like terms: 4y + -4y = 0
-1x + 0 = 13 + y + -4y
-1x = 13 + y + -4y

Combine like terms: y + -4y = -3y
-1x = 13 + -3y

Divide each side by '-1'.
x = -13 + 3y

Simplifying
x = -13 + 3y

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