0.4(3.2x+2)-x=3x+1.8

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Solution for 0.4(3.2x+2)-x=3x+1.8 equation: 


Simplifying
0.4(3.2x + 2) + -1x = 3x + 1.8

Reorder the terms:
0.4(2 + 3.2x) + -1x = 3x + 1.8
(2 * 0.4 + 3.2x * 0.4) + -1x = 3x + 1.8
(0.8 + 1.28x) + -1x = 3x + 1.8

Combine like terms: 1.28x + -1x = 0.28x
0.8 + 0.28x = 3x + 1.8

Reorder the terms:
0.8 + 0.28x = 1.8 + 3x

Solving
0.8 + 0.28x = 1.8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.8 + 0.28x + -3x = 1.8 + 3x + -3x

Combine like terms: 0.28x + -3x = -2.72x
0.8 + -2.72x = 1.8 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.8 + -2.72x = 1.8 + 0
0.8 + -2.72x = 1.8

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -2.72x = 1.8 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -2.72x = 1.8 + -0.8
-2.72x = 1.8 + -0.8

Combine like terms: 1.8 + -0.8 = 1
-2.72x = 1

Divide each side by '-2.72'.
x = -0.3676470588

Simplifying
x = -0.3676470588

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