4y+x=3x-2

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


Simplifying
4y + x = 3x + -2

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

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

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

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

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

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

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

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

Simplifying
x = 1 + 2y

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