0.2x+0.1=x-2

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Solution for 0.2x+0.1=x-2 equation: 


Simplifying
0.2x + 0.1 = x + -2

Reorder the terms:
0.1 + 0.2x = x + -2

Reorder the terms:
0.1 + 0.2x = -2 + x

Solving
0.1 + 0.2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0.1 + 0.2x + -1x = -2 + x + -1x

Combine like terms: 0.2x + -1x = -0.8x
0.1 + -0.8x = -2 + x + -1x

Combine like terms: x + -1x = 0
0.1 + -0.8x = -2 + 0
0.1 + -0.8x = -2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.8x = -2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.8x = -2 + -0.1
-0.8x = -2 + -0.1

Combine like terms: -2 + -0.1 = -2.1
-0.8x = -2.1

Divide each side by '-0.8'.
x = 2.625

Simplifying
x = 2.625

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