0.2=x+(x-0.1)*0.583

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Solution for 0.2=x+(x-0.1)*0.583 equation: 


Simplifying
0.2 = x + (x + -0.1) * 0.583

Reorder the terms:
0.2 = x + (-0.1 + x) * 0.583

Reorder the terms for easier multiplication:
0.2 = x + 0.583(-0.1 + x)
0.2 = x + (-0.1 * 0.583 + x * 0.583)
0.2 = x + (-0.0583 + 0.583x)

Reorder the terms:
0.2 = -0.0583 + x + 0.583x

Combine like terms: x + 0.583x = 1.583x
0.2 = -0.0583 + 1.583x

Solving
0.2 = -0.0583 + 1.583x

Solving for variable 'x'.

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

Add '-1.583x' to each side of the equation.
0.2 + -1.583x = -0.0583 + 1.583x + -1.583x

Combine like terms: 1.583x + -1.583x = 0.000
0.2 + -1.583x = -0.0583 + 0.000
0.2 + -1.583x = -0.0583

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -1.583x = -0.0583 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -1.583x = -0.0583 + -0.2
-1.583x = -0.0583 + -0.2

Combine like terms: -0.0583 + -0.2 = -0.2583
-1.583x = -0.2583

Divide each side by '-1.583'.
x = 0.1631711939

Simplifying
x = 0.1631711939

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