5x-3=2y-6

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


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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -3 + 3 = 0
0 + 5x = -6 + 3 + 2y
5x = -6 + 3 + 2y

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

Divide each side by '5'.
x = -0.6 + 0.4y

Simplifying
x = -0.6 + 0.4y

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