10y+x=4(x+y)

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Solution for 10y+x=4(x+y) equation:


Simplifying
10y + x = 4(x + y)

Reorder the terms:
x + 10y = 4(x + y)
x + 10y = (x * 4 + y * 4)
x + 10y = (4x + 4y)

Solving
x + 10y = 4x + 4y

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 + 10y = 4x + -4x + 4y

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

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

Add '-10y' to each side of the equation.
-3x + 10y + -10y = 4y + -10y

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

Combine like terms: 4y + -10y = -6y
-3x = -6y

Divide each side by '-3'.
x = 2y

Simplifying
x = 2y

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