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

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


Simplifying
4x + -1y = 2x + 3y + 4

Reorder the terms:
4x + -1y = 4 + 2x + 3y

Solving
4x + -1y = 4 + 2x + 3y

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.
4x + -2x + -1y = 4 + 2x + -2x + 3y

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

Combine like terms: 2x + -2x = 0
2x + -1y = 4 + 0 + 3y
2x + -1y = 4 + 3y

Add 'y' to each side of the equation.
2x + -1y + y = 4 + 3y + y

Combine like terms: -1y + y = 0
2x + 0 = 4 + 3y + y
2x = 4 + 3y + y

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

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

Simplifying
x = 2 + 2y

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