2y+5x=2(x-3)+4

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Solution for 2y+5x=2(x-3)+4 equation:


Simplifying
2y + 5x = 2(x + -3) + 4

Reorder the terms:
5x + 2y = 2(x + -3) + 4

Reorder the terms:
5x + 2y = 2(-3 + x) + 4
5x + 2y = (-3 * 2 + x * 2) + 4
5x + 2y = (-6 + 2x) + 4

Reorder the terms:
5x + 2y = -6 + 4 + 2x

Combine like terms: -6 + 4 = -2
5x + 2y = -2 + 2x

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

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '3'.
x = -0.6666666667 + -0.6666666667y

Simplifying
x = -0.6666666667 + -0.6666666667y

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