x=39.5[39-.5x]

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Solution for x=39.5[39-.5x] equation: 


Simplifying
x = 39.5[39 + -0.5x]
x = [39 * 39.5 + -0.5x * 39.5]
x = [1540.5 + -19.75x]

Solving
x = 1540.5 + -19.75x

Solving for variable 'x'.

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

Add '19.75x' to each side of the equation.
x + 19.75x = 1540.5 + -19.75x + 19.75x

Combine like terms: x + 19.75x = 20.75x
20.75x = 1540.5 + -19.75x + 19.75x

Combine like terms: -19.75x + 19.75x = 0.00
20.75x = 1540.5 + 0.00
20.75x = 1540.5

Divide each side by '20.75'.
x = 74.24096386

Simplifying
x = 74.24096386

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