0.1x+4.1(2x-1)=3.2x

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Solution for 0.1x+4.1(2x-1)=3.2x equation: 


Simplifying
0.1x + 4.1(2x + -1) = 3.2x

Reorder the terms:
0.1x + 4.1(-1 + 2x) = 3.2x
0.1x + (-1 * 4.1 + 2x * 4.1) = 3.2x
0.1x + (-4.1 + 8.2x) = 3.2x

Reorder the terms:
-4.1 + 0.1x + 8.2x = 3.2x

Combine like terms: 0.1x + 8.2x = 8.3x
-4.1 + 8.3x = 3.2x

Solving
-4.1 + 8.3x = 3.2x

Solving for variable 'x'.

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

Add '-3.2x' to each side of the equation.
-4.1 + 8.3x + -3.2x = 3.2x + -3.2x

Combine like terms: 8.3x + -3.2x = 5.1x
-4.1 + 5.1x = 3.2x + -3.2x

Combine like terms: 3.2x + -3.2x = 0.0
-4.1 + 5.1x = 0.0

Add '4.1' to each side of the equation.
-4.1 + 4.1 + 5.1x = 0.0 + 4.1

Combine like terms: -4.1 + 4.1 = 0.0
0.0 + 5.1x = 0.0 + 4.1
5.1x = 0.0 + 4.1

Combine like terms: 0.0 + 4.1 = 4.1
5.1x = 4.1

Divide each side by '5.1'.
x = 0.8039215686

Simplifying
x = 0.8039215686

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