2x-1+3y+5=1+y-4x

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Solution for 2x-1+3y+5=1+y-4x equation:


Simplifying
2x + -1 + 3y + 5 = 1 + y + -4x

Reorder the terms:
-1 + 5 + 2x + 3y = 1 + y + -4x

Combine like terms: -1 + 5 = 4
4 + 2x + 3y = 1 + y + -4x

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

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

Combine like terms: 2x + 4x = 6x
4 + 6x + 3y = 1 + -4x + 4x + y

Combine like terms: -4x + 4x = 0
4 + 6x + 3y = 1 + 0 + y
4 + 6x + 3y = 1 + y

Add '-4' to each side of the equation.
4 + 6x + -4 + 3y = 1 + -4 + y

Reorder the terms:
4 + -4 + 6x + 3y = 1 + -4 + y

Combine like terms: 4 + -4 = 0
0 + 6x + 3y = 1 + -4 + y
6x + 3y = 1 + -4 + y

Combine like terms: 1 + -4 = -3
6x + 3y = -3 + y

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

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

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

Divide each side by '6'.
x = -0.5 + -0.3333333333y

Simplifying
x = -0.5 + -0.3333333333y

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