7=x+.2(y-x)

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Solution for 7=x+.2(y-x) equation:


Simplifying
7 = x + 0.2(y + -1x)

Reorder the terms:
7 = x + 0.2(-1x + y)
7 = x + (-1x * 0.2 + y * 0.2)
7 = x + (-0.2x + 0.2y)

Combine like terms: x + -0.2x = 0.8x
7 = 0.8x + 0.2y

Solving
7 = 0.8x + 0.2y

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
7 + -0.8x = 0.8x + -0.8x + 0.2y

Combine like terms: 0.8x + -0.8x = 0.0
7 + -0.8x = 0.0 + 0.2y
7 + -0.8x = 0.2y

Add '-7' to each side of the equation.
7 + -7 + -0.8x = -7 + 0.2y

Combine like terms: 7 + -7 = 0
0 + -0.8x = -7 + 0.2y
-0.8x = -7 + 0.2y

Divide each side by '-0.8'.
x = 8.75 + -0.25y

Simplifying
x = 8.75 + -0.25y

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