4y+x=5x+8

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Solution for 4y+x=5x+8 equation:


Simplifying
4y + x = 5x + 8

Reorder the terms:
x + 4y = 5x + 8

Reorder the terms:
x + 4y = 8 + 5x

Solving
x + 4y = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
x + -5x + 4y = 8 + 5x + -5x

Combine like terms: x + -5x = -4x
-4x + 4y = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4x + 4y = 8 + 0
-4x + 4y = 8

Add '-4y' to each side of the equation.
-4x + 4y + -4y = 8 + -4y

Combine like terms: 4y + -4y = 0
-4x + 0 = 8 + -4y
-4x = 8 + -4y

Divide each side by '-4'.
x = -2 + y

Simplifying
x = -2 + y

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