0.1x+1.8=0.2x-1

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Solution for 0.1x+1.8=0.2x-1 equation: 


Simplifying
0.1x + 1.8 = 0.2x + -1

Reorder the terms:
1.8 + 0.1x = 0.2x + -1

Reorder the terms:
1.8 + 0.1x = -1 + 0.2x

Solving
1.8 + 0.1x = -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.
1.8 + 0.1x + -0.2x = -1 + 0.2x + -0.2x

Combine like terms: 0.1x + -0.2x = -0.1x
1.8 + -0.1x = -1 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.8 + -0.1x = -1 + 0.0
1.8 + -0.1x = -1

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.1x = -1 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.1x = -1 + -1.8
-0.1x = -1 + -1.8

Combine like terms: -1 + -1.8 = -2.8
-0.1x = -2.8

Divide each side by '-0.1'.
x = 28

Simplifying
x = 28

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