x-0.1x+0.8=0.2x+0.1

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Solution for x-0.1x+0.8=0.2x+0.1 equation: 


Simplifying
x + -0.1x + 0.8 = 0.2x + 0.1

Reorder the terms:
0.8 + x + -0.1x = 0.2x + 0.1

Combine like terms: x + -0.1x = 0.9x
0.8 + 0.9x = 0.2x + 0.1

Reorder the terms:
0.8 + 0.9x = 0.1 + 0.2x

Solving
0.8 + 0.9x = 0.1 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.8 + 0.9x + -0.2x = 0.1 + 0.2x + -0.2x

Combine like terms: 0.9x + -0.2x = 0.7x
0.8 + 0.7x = 0.1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.8 + 0.7x = 0.1 + 0.0
0.8 + 0.7x = 0.1

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.7x = 0.1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.7x = 0.1 + -0.8
0.7x = 0.1 + -0.8

Combine like terms: 0.1 + -0.8 = -0.7
0.7x = -0.7

Divide each side by '0.7'.
x = -1

Simplifying
x = -1

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