0.01x+0.10(100-x)=0.41x

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Solution for 0.01x+0.10(100-x)=0.41x equation: 


Simplifying
0.01x + 0.10(100 + -1x) = 0.41x
0.01x + (100 * 0.10 + -1x * 0.10) = 0.41x
0.01x + (10 + -0.1x) = 0.41x

Reorder the terms:
10 + 0.01x + -0.1x = 0.41x

Combine like terms: 0.01x + -0.1x = -0.09x
10 + -0.09x = 0.41x

Solving
10 + -0.09x = 0.41x

Solving for variable 'x'.

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

Add '-0.41x' to each side of the equation.
10 + -0.09x + -0.41x = 0.41x + -0.41x

Combine like terms: -0.09x + -0.41x = -0.5x
10 + -0.5x = 0.41x + -0.41x

Combine like terms: 0.41x + -0.41x = 0.00
10 + -0.5x = 0.00

Add '-10' to each side of the equation.
10 + -10 + -0.5x = 0.00 + -10

Combine like terms: 10 + -10 = 0
0 + -0.5x = 0.00 + -10
-0.5x = 0.00 + -10

Combine like terms: 0.00 + -10 = -10
-0.5x = -10

Divide each side by '-0.5'.
x = 20

Simplifying
x = 20

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