3x+5=2y+x-3

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


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

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

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

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

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 = -3 + x + -1x + 2y

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

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

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

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

Combine like terms: -3 + -5 = -8
2x = -8 + 2y

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

Simplifying
x = -4 + y

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