0.2(3x-8)=1.6+2x

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Solution for 0.2(3x-8)=1.6+2x equation: 


Simplifying
0.2(3x + -8) = 1.6 + 2x

Reorder the terms:
0.2(-8 + 3x) = 1.6 + 2x
(-8 * 0.2 + 3x * 0.2) = 1.6 + 2x
(-1.6 + 0.6x) = 1.6 + 2x

Solving
-1.6 + 0.6x = 1.6 + 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.
-1.6 + 0.6x + -2x = 1.6 + 2x + -2x

Combine like terms: 0.6x + -2x = -1.4x
-1.6 + -1.4x = 1.6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1.6 + -1.4x = 1.6 + 0
-1.6 + -1.4x = 1.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -1.4x = 1.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -1.4x = 1.6 + 1.6
-1.4x = 1.6 + 1.6

Combine like terms: 1.6 + 1.6 = 3.2
-1.4x = 3.2

Divide each side by '-1.4'.
x = -2.285714286

Simplifying
x = -2.285714286

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