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

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


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

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

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

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

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

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

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

Add '6' to each side of the equation.
-6 + -2x + 6 + 4y = 4 + 6 + y

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

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

Combine like terms: 4 + 6 = 10
-2x + 4y = 10 + y

Add '-4y' to each side of the equation.
-2x + 4y + -4y = 10 + y + -4y

Combine like terms: 4y + -4y = 0
-2x + 0 = 10 + y + -4y
-2x = 10 + y + -4y

Combine like terms: y + -4y = -3y
-2x = 10 + -3y

Divide each side by '-2'.
x = -5 + 1.5y

Simplifying
x = -5 + 1.5y

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