5x+6.5y=-3.5x+7y-15

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Solution for 5x+6.5y=-3.5x+7y-15 equation: 


Simplifying
5x + 6.5y = -3.5x + 7y + -15

Reorder the terms:
5x + 6.5y = -15 + -3.5x + 7y

Solving
5x + 6.5y = -15 + -3.5x + 7y

Solving for variable 'x'.

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

Add '3.5x' to each side of the equation.
5x + 3.5x + 6.5y = -15 + -3.5x + 3.5x + 7y

Combine like terms: 5x + 3.5x = 8.5x
8.5x + 6.5y = -15 + -3.5x + 3.5x + 7y

Combine like terms: -3.5x + 3.5x = 0.0
8.5x + 6.5y = -15 + 0.0 + 7y
8.5x + 6.5y = -15 + 7y

Add '-6.5y' to each side of the equation.
8.5x + 6.5y + -6.5y = -15 + 7y + -6.5y

Combine like terms: 6.5y + -6.5y = 0.0
8.5x + 0.0 = -15 + 7y + -6.5y
8.5x = -15 + 7y + -6.5y

Combine like terms: 7y + -6.5y = 0.5y
8.5x = -15 + 0.5y

Divide each side by '8.5'.
x = -1.764705882 + 0.05882352941y

Simplifying
x = -1.764705882 + 0.05882352941y

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