0.4(3.2x+2)-x=2x+1

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Solution for 0.4(3.2x+2)-x=2x+1 equation: 


Simplifying
0.4(3.2x + 2) + -1x = 2x + 1

Reorder the terms:
0.4(2 + 3.2x) + -1x = 2x + 1
(2 * 0.4 + 3.2x * 0.4) + -1x = 2x + 1
(0.8 + 1.28x) + -1x = 2x + 1

Combine like terms: 1.28x + -1x = 0.28x
0.8 + 0.28x = 2x + 1

Reorder the terms:
0.8 + 0.28x = 1 + 2x

Solving
0.8 + 0.28x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.8 + 0.28x + -2x = 1 + 2x + -2x

Combine like terms: 0.28x + -2x = -1.72x
0.8 + -1.72x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.8 + -1.72x = 1 + 0
0.8 + -1.72x = 1

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -1.72x = 1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.72x = 1 + -0.8
-1.72x = 1 + -0.8

Combine like terms: 1 + -0.8 = 0.2
-1.72x = 0.2

Divide each side by '-1.72'.
x = -0.1162790698

Simplifying
x = -0.1162790698

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