5x-6=3y-x

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Solution for 5x-6=3y-x equation:


Simplifying
5x + -6 = 3y + -1x

Reorder the terms:
-6 + 5x = 3y + -1x

Reorder the terms:
-6 + 5x = -1x + 3y

Solving
-6 + 5x = -1x + 3y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = -1x + x + 3y

Combine like terms: 5x + x = 6x
-6 + 6x = -1x + x + 3y

Combine like terms: -1x + x = 0
-6 + 6x = 0 + 3y
-6 + 6x = 3y

Add '6' to each side of the equation.
-6 + 6 + 6x = 6 + 3y

Combine like terms: -6 + 6 = 0
0 + 6x = 6 + 3y
6x = 6 + 3y

Divide each side by '6'.
x = 1 + 0.5y

Simplifying
x = 1 + 0.5y

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