0.4x-1.2=0.1x+0.8

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Solution for 0.4x-1.2=0.1x+0.8 equation: 


Simplifying
0.4x + -1.2 = 0.1x + 0.8

Reorder the terms:
-1.2 + 0.4x = 0.1x + 0.8

Reorder the terms:
-1.2 + 0.4x = 0.8 + 0.1x

Solving
-1.2 + 0.4x = 0.8 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-1.2 + 0.4x + -0.1x = 0.8 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
-1.2 + 0.3x = 0.8 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-1.2 + 0.3x = 0.8 + 0.0
-1.2 + 0.3x = 0.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.3x = 0.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.3x = 0.8 + 1.2
0.3x = 0.8 + 1.2

Combine like terms: 0.8 + 1.2 = 2
0.3x = 2

Divide each side by '0.3'.
x = 6.666666667

Simplifying
x = 6.666666667

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