x=2.5-.5(2.5-(.5x))

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Solution for x=2.5-.5(2.5-(.5x)) equation: 


Simplifying
x = 2.5 + -0.5(2.5 + -1(0.5x))

Remove parenthesis around (0.5x)
x = 2.5 + -0.5(2.5 + -1 * 0.5x)

Multiply -1 * 0.5
x = 2.5 + -0.5(2.5 + -0.5x)
x = 2.5 + (2.5 * -0.5 + -0.5x * -0.5)
x = 2.5 + (-1.25 + 0.25x)

Combine like terms: 2.5 + -1.25 = 1.25
x = 1.25 + 0.25x

Solving
x = 1.25 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
x + -0.25x = 1.25 + 0.25x + -0.25x

Combine like terms: x + -0.25x = 0.75x
0.75x = 1.25 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
0.75x = 1.25 + 0.00
0.75x = 1.25

Divide each side by '0.75'.
x = 1.666666667

Simplifying
x = 1.666666667

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