x=.707(6-x)

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Solution for x=.707(6-x) equation:


Simplifying
x = 0.707(6 + -1x)
x = (6 * 0.707 + -1x * 0.707)
x = (4.242 + -0.707x)

Solving
x = 4.242 + -0.707x

Solving for variable 'x'.

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

Add '0.707x' to each side of the equation.
x + 0.707x = 4.242 + -0.707x + 0.707x

Combine like terms: x + 0.707x = 1.707x
1.707x = 4.242 + -0.707x + 0.707x

Combine like terms: -0.707x + 0.707x = 0.000
1.707x = 4.242 + 0.000
1.707x = 4.242

Divide each side by '1.707'.
x = 2.485061511

Simplifying
x = 2.485061511

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