3x-y=5(y+2x)

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Solution for 3x-y=5(y+2x) equation:


Simplifying
3x + -1y = 5(y + 2x)

Reorder the terms:
3x + -1y = 5(2x + y)
3x + -1y = (2x * 5 + y * 5)
3x + -1y = (10x + 5y)

Solving
3x + -1y = 10x + 5y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
3x + -10x + -1y = 10x + -10x + 5y

Combine like terms: 3x + -10x = -7x
-7x + -1y = 10x + -10x + 5y

Combine like terms: 10x + -10x = 0
-7x + -1y = 0 + 5y
-7x + -1y = 5y

Add 'y' to each side of the equation.
-7x + -1y + y = 5y + y

Combine like terms: -1y + y = 0
-7x + 0 = 5y + y
-7x = 5y + y

Combine like terms: 5y + y = 6y
-7x = 6y

Divide each side by '-7'.
x = -0.8571428571y

Simplifying
x = -0.8571428571y

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