5x-2=6x+3y

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Solution for 5x-2=6x+3y equation:


Simplifying
5x + -2 = 6x + 3y

Reorder the terms:
-2 + 5x = 6x + 3y

Solving
-2 + 5x = 6x + 3y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 5x + -6x = 6x + -6x + 3y

Combine like terms: 5x + -6x = -1x
-2 + -1x = 6x + -6x + 3y

Combine like terms: 6x + -6x = 0
-2 + -1x = 0 + 3y
-2 + -1x = 3y

Add '2' to each side of the equation.
-2 + 2 + -1x = 2 + 3y

Combine like terms: -2 + 2 = 0
0 + -1x = 2 + 3y
-1x = 2 + 3y

Divide each side by '-1'.
x = -2 + -3y

Simplifying
x = -2 + -3y

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