.5(.1x+.5)=.5

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Solution for .5(.1x+.5)=.5 equation: 


Simplifying
0.5(0.1x + 0.5) = 0.5

Reorder the terms:
0.5(0.5 + 0.1x) = 0.5
(0.5 * 0.5 + 0.1x * 0.5) = 0.5
(0.25 + 0.05x) = 0.5

Solving
0.25 + 0.05x = 0.5

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 0.05x = 0.5 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.05x = 0.5 + -0.25
0.05x = 0.5 + -0.25

Combine like terms: 0.5 + -0.25 = 0.25
0.05x = 0.25

Divide each side by '0.05'.
x = 5

Simplifying
x = 5

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