5=r+.5(x-r)

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


Simplifying
5 = r + 0.5(x + -1r)

Reorder the terms:
5 = r + 0.5(-1r + x)
5 = r + (-1r * 0.5 + x * 0.5)
5 = r + (-0.5r + 0.5x)

Combine like terms: r + -0.5r = 0.5r
5 = 0.5r + 0.5x

Solving
5 = 0.5r + 0.5x

Solving for variable 'r'.

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

Add '-0.5r' to each side of the equation.
5 + -0.5r = 0.5r + -0.5r + 0.5x

Combine like terms: 0.5r + -0.5r = 0.0
5 + -0.5r = 0.0 + 0.5x
5 + -0.5r = 0.5x

Add '-5' to each side of the equation.
5 + -5 + -0.5r = -5 + 0.5x

Combine like terms: 5 + -5 = 0
0 + -0.5r = -5 + 0.5x
-0.5r = -5 + 0.5x

Divide each side by '-0.5'.
r = 10 + -1x

Simplifying
r = 10 + -1x

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