.1(0.1x+0.1)=0.5

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Solution for .1(0.1x+0.1)=0.5 equation: 


Simplifying
0.1(0.1x + 0.1) = 0.5

Reorder the terms:
0.1(0.1 + 0.1x) = 0.5
(0.1 * 0.1 + 0.1x * 0.1) = 0.5
(0.01 + 0.01x) = 0.5

Solving
0.01 + 0.01x = 0.5

Solving for variable 'x'.

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

Add '-0.01' to each side of the equation.
0.01 + -0.01 + 0.01x = 0.5 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
0.00 + 0.01x = 0.5 + -0.01
0.01x = 0.5 + -0.01

Combine like terms: 0.5 + -0.01 = 0.49
0.01x = 0.49

Divide each side by '0.01'.
x = 49

Simplifying
x = 49

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