6=x+.5(y-x)

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Solution for 6=x+.5(y-x) equation:


Simplifying
6 = x + 0.5(y + -1x)

Reorder the terms:
6 = x + 0.5(-1x + y)
6 = x + (-1x * 0.5 + y * 0.5)
6 = x + (-0.5x + 0.5y)

Combine like terms: x + -0.5x = 0.5x
6 = 0.5x + 0.5y

Solving
6 = 0.5x + 0.5y

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
6 + -0.5x = 0.5x + -0.5x + 0.5y

Combine like terms: 0.5x + -0.5x = 0.0
6 + -0.5x = 0.0 + 0.5y
6 + -0.5x = 0.5y

Add '-6' to each side of the equation.
6 + -6 + -0.5x = -6 + 0.5y

Combine like terms: 6 + -6 = 0
0 + -0.5x = -6 + 0.5y
-0.5x = -6 + 0.5y

Divide each side by '-0.5'.
x = 12 + -1y

Simplifying
x = 12 + -1y

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