2y+5x=y+3x+5

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '2'.
x = 2.5 + -0.5y

Simplifying
x = 2.5 + -0.5y

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