5-0.5(5-0.5x)=x

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Solution for 5-0.5(5-0.5x)=x equation:


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

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

Solving
2.5 + 0.25x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.5 + 0.25x + -1x = x + -1x

Combine like terms: 0.25x + -1x = -0.75x
2.5 + -0.75x = x + -1x

Combine like terms: x + -1x = 0
2.5 + -0.75x = 0

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -0.75x = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -0.75x = 0 + -2.5
-0.75x = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-0.75x = -2.5

Divide each side by '-0.75'.
x = 3.333333333

Simplifying
x = 3.333333333

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