0.1x-0.01(10-x)+0.01(100-x)=19

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Solution for 0.1x-0.01(10-x)+0.01(100-x)=19 equation: 


Simplifying
0.1x + -0.01(10 + -1x) + 0.01(100 + -1x) = 19
0.1x + (10 * -0.01 + -1x * -0.01) + 0.01(100 + -1x) = 19
0.1x + (-0.1 + 0.01x) + 0.01(100 + -1x) = 19
0.1x + -0.1 + 0.01x + (100 * 0.01 + -1x * 0.01) = 19
0.1x + -0.1 + 0.01x + (1 + -0.01x) = 19

Reorder the terms:
-0.1 + 1 + 0.1x + 0.01x + -0.01x = 19

Combine like terms: -0.1 + 1 = 0.9
0.9 + 0.1x + 0.01x + -0.01x = 19

Combine like terms: 0.1x + 0.01x = 0.11x
0.9 + 0.11x + -0.01x = 19

Combine like terms: 0.11x + -0.01x = 0.1x
0.9 + 0.1x = 19

Solving
0.9 + 0.1x = 19

Solving for variable 'x'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.1x = 19 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.1x = 19 + -0.9
0.1x = 19 + -0.9

Combine like terms: 19 + -0.9 = 18.1
0.1x = 18.1

Divide each side by '0.1'.
x = 181

Simplifying
x = 181

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