3y+x=4x+y+10

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Solution for 3y+x=4x+y+10 equation:


Simplifying
3y + x = 4x + y + 10

Reorder the terms:
x + 3y = 4x + y + 10

Reorder the terms:
x + 3y = 10 + 4x + y

Solving
x + 3y = 10 + 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.
x + -4x + 3y = 10 + 4x + -4x + y

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

Combine like terms: 4x + -4x = 0
-3x + 3y = 10 + 0 + y
-3x + 3y = 10 + y

Add '-3y' to each side of the equation.
-3x + 3y + -3y = 10 + y + -3y

Combine like terms: 3y + -3y = 0
-3x + 0 = 10 + y + -3y
-3x = 10 + y + -3y

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

Divide each side by '-3'.
x = -3.333333333 + 0.6666666667y

Simplifying
x = -3.333333333 + 0.6666666667y

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