(0.2)(x)+(0.8)(6-x)=(0.4)(6)

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Solution for (0.2)(x)+(0.8)(6-x)=(0.4)(6) equation: 


Simplifying
(0.2)(x) + (0.8)(6 + -1x) = (0.4)(6)
0.2x + (6 * 0.8 + -1x * 0.8) = (0.4)(6)
0.2x + (4.8 + -0.8x) = (0.4)(6)

Reorder the terms:
4.8 + 0.2x + -0.8x = (0.4)(6)

Combine like terms: 0.2x + -0.8x = -0.6x
4.8 + -0.6x = (0.4)(6)

Multiply 0.4 * 6
4.8 + -0.6x = 2.4

Solving
4.8 + -0.6x = 2.4

Solving for variable 'x'.

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

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -0.6x = 2.4 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -0.6x = 2.4 + -4.8
-0.6x = 2.4 + -4.8

Combine like terms: 2.4 + -4.8 = -2.4
-0.6x = -2.4

Divide each side by '-0.6'.
x = 4

Simplifying
x = 4

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