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

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Solution for 2x+4+3y=4x-y+1 equation:


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

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

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

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

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

Simplifying
x = 1.5 + 2y

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