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

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


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

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

Reorder the terms:
0.8 + -2 + 1.28x = 2x + 1.8

Combine like terms: 0.8 + -2 = -1.2
-1.2 + 1.28x = 2x + 1.8

Reorder the terms:
-1.2 + 1.28x = 1.8 + 2x

Solving
-1.2 + 1.28x = 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.
-1.2 + 1.28x + -2x = 1.8 + 2x + -2x

Combine like terms: 1.28x + -2x = -0.72x
-1.2 + -0.72x = 1.8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1.2 + -0.72x = 1.8 + 0
-1.2 + -0.72x = 1.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.72x = 1.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.72x = 1.8 + 1.2
-0.72x = 1.8 + 1.2

Combine like terms: 1.8 + 1.2 = 3
-0.72x = 3

Divide each side by '-0.72'.
x = -4.166666667

Simplifying
x = -4.166666667

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