.4(3.2x+2)-x=2x-1.8

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Solution for .4(3.2x+2)-x=2x-1.8 equation: 


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

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

Combine like terms: 1.28x + -1x = 0.28x
0.8 + 0.28x = 2x + -1.8

Reorder the terms:
0.8 + 0.28x = -1.8 + 2x

Solving
0.8 + 0.28x = -1.8 + 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 = -1.8 + 2x + -2x

Combine like terms: 0.28x + -2x = -1.72x
0.8 + -1.72x = -1.8 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.8 + -1.72x = -1.8 + 0
0.8 + -1.72x = -1.8

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -1.72x = -1.8 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.72x = -1.8 + -0.8
-1.72x = -1.8 + -0.8

Combine like terms: -1.8 + -0.8 = -2.6
-1.72x = -2.6

Divide each side by '-1.72'.
x = 1.511627907

Simplifying
x = 1.511627907

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