3y+6+x=2-4x+y

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Solution for 3y+6+x=2-4x+y equation:


Simplifying
3y + 6 + x = 2 + -4x + y

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

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

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

Combine like terms: x + 4x = 5x
6 + 5x + 3y = 2 + -4x + 4x + y

Combine like terms: -4x + 4x = 0
6 + 5x + 3y = 2 + 0 + y
6 + 5x + 3y = 2 + y

Add '-6' to each side of the equation.
6 + 5x + -6 + 3y = 2 + -6 + y

Reorder the terms:
6 + -6 + 5x + 3y = 2 + -6 + y

Combine like terms: 6 + -6 = 0
0 + 5x + 3y = 2 + -6 + y
5x + 3y = 2 + -6 + y

Combine like terms: 2 + -6 = -4
5x + 3y = -4 + y

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

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

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

Divide each side by '5'.
x = -0.8 + -0.4y

Simplifying
x = -0.8 + -0.4y

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