4y+x=10x-5y

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Solution for 4y+x=10x-5y equation: 


Simplifying
4y + x = 10x + -5y

Reorder the terms:
x + 4y = 10x + -5y

Solving
x + 4y = 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.
x + -10x + 4y = 10x + -10x + -5y

Combine like terms: x + -10x = -9x
-9x + 4y = 10x + -10x + -5y

Combine like terms: 10x + -10x = 0
-9x + 4y = 0 + -5y
-9x + 4y = -5y

Add '-4y' to each side of the equation.
-9x + 4y + -4y = -5y + -4y

Combine like terms: 4y + -4y = 0
-9x + 0 = -5y + -4y
-9x = -5y + -4y

Combine like terms: -5y + -4y = -9y
-9x = -9y

Divide each side by '-9'.
x = y

Simplifying
x = y

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