0.8=x+0.4-x(0.2)

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


Simplifying
0.8 = x + 0.4 + -1x(0.2)

Reorder the terms for easier multiplication:
0.8 = x + 0.4 + -1 * 0.2x

Multiply -1 * 0.2
0.8 = x + 0.4 + -0.2x

Reorder the terms:
0.8 = 0.4 + x + -0.2x

Combine like terms: x + -0.2x = 0.8x
0.8 = 0.4 + 0.8x

Solving
0.8 = 0.4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
0.8 + -0.8x = 0.4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.8 + -0.8x = 0.4 + 0.0
0.8 + -0.8x = 0.4

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.8x = 0.4 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.8x = 0.4 + -0.8
-0.8x = 0.4 + -0.8

Combine like terms: 0.4 + -0.8 = -0.4
-0.8x = -0.4

Divide each side by '-0.8'.
x = 0.5

Simplifying
x = 0.5

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