3x-.5y=7x+2

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Solution for 3x-.5y=7x+2 equation:


Simplifying
3x + -0.5y = 7x + 2

Reorder the terms:
3x + -0.5y = 2 + 7x

Solving
3x + -0.5y = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3x + -7x + -0.5y = 2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x + -0.5y = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4x + -0.5y = 2 + 0
-4x + -0.5y = 2

Add '0.5y' to each side of the equation.
-4x + -0.5y + 0.5y = 2 + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
-4x + 0.0 = 2 + 0.5y
-4x = 2 + 0.5y

Divide each side by '-4'.
x = -0.5 + -0.125y

Simplifying
x = -0.5 + -0.125y

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