3x+5=x-3y

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


Simplifying
3x + 5 = x + -3y

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

Solving
5 + 3x = x + -3y

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
5 + 2x = 0 + -3y
5 + 2x = -3y

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

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

Divide each side by '2'.
x = -2.5 + -1.5y

Simplifying
x = -2.5 + -1.5y

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