0.2(0.1-5x)=-8(x-0.1)

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Solution for 0.2(0.1-5x)=-8(x-0.1) equation: 


Simplifying
0.2(0.1 + -5x) = -8(x + -0.1)
(0.1 * 0.2 + -5x * 0.2) = -8(x + -0.1)
(0.02 + -1x) = -8(x + -0.1)

Reorder the terms:
0.02 + -1x = -8(-0.1 + x)
0.02 + -1x = (-0.1 * -8 + x * -8)
0.02 + -1x = (0.8 + -8x)

Solving
0.02 + -1x = 0.8 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
0.02 + -1x + 8x = 0.8 + -8x + 8x

Combine like terms: -1x + 8x = 7x
0.02 + 7x = 0.8 + -8x + 8x

Combine like terms: -8x + 8x = 0
0.02 + 7x = 0.8 + 0
0.02 + 7x = 0.8

Add '-0.02' to each side of the equation.
0.02 + -0.02 + 7x = 0.8 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + 7x = 0.8 + -0.02
7x = 0.8 + -0.02

Combine like terms: 0.8 + -0.02 = 0.78
7x = 0.78

Divide each side by '7'.
x = 0.1114285714

Simplifying
x = 0.1114285714

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