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

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


Simplifying
x = 5 + -0.5(5 + -0.5x)
x = 5 + (5 * -0.5 + -0.5x * -0.5)
x = 5 + (-2.5 + 0.25x)

Combine like terms: 5 + -2.5 = 2.5
x = 2.5 + 0.25x

Solving
x = 2.5 + 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 = 2.5 + 0.25x + -0.25x

Combine like terms: x + -0.25x = 0.75x
0.75x = 2.5 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
0.75x = 2.5 + 0.00
0.75x = 2.5

Divide each side by '0.75'.
x = 3.333333333

Simplifying
x = 3.333333333

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