0.2(0.1-5x)=0.8(x-0.1)

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Solution for 0.2(0.1-5x)=0.8(x-0.1) equation: 


Simplifying
0.2(0.1 + -5x) = 0.8(x + -0.1)
(0.1 * 0.2 + -5x * 0.2) = 0.8(x + -0.1)
(0.02 + -1x) = 0.8(x + -0.1)

Reorder the terms:
0.02 + -1x = 0.8(-0.1 + x)
0.02 + -1x = (-0.1 * 0.8 + x * 0.8)
0.02 + -1x = (-0.08 + 0.8x)

Solving
0.02 + -1x = -0.08 + 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.
0.02 + -1x + -0.8x = -0.08 + 0.8x + -0.8x

Combine like terms: -1x + -0.8x = -1.8x
0.02 + -1.8x = -0.08 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
0.02 + -1.8x = -0.08 + 0.0
0.02 + -1.8x = -0.08

Add '-0.02' to each side of the equation.
0.02 + -0.02 + -1.8x = -0.08 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + -1.8x = -0.08 + -0.02
-1.8x = -0.08 + -0.02

Combine like terms: -0.08 + -0.02 = -0.1
-1.8x = -0.1

Divide each side by '-1.8'.
x = 0.05555555556

Simplifying
x = 0.05555555556

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