0.2x-0.4=0.1x+5

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Solution for 0.2x-0.4=0.1x+5 equation: 


Simplifying
0.2x + -0.4 = 0.1x + 5

Reorder the terms:
-0.4 + 0.2x = 0.1x + 5

Reorder the terms:
-0.4 + 0.2x = 5 + 0.1x

Solving
-0.4 + 0.2x = 5 + 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.
-0.4 + 0.2x + -0.1x = 5 + 0.1x + -0.1x

Combine like terms: 0.2x + -0.1x = 0.1x
-0.4 + 0.1x = 5 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-0.4 + 0.1x = 5 + 0.0
-0.4 + 0.1x = 5

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.1x = 5 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.1x = 5 + 0.4
0.1x = 5 + 0.4

Combine like terms: 5 + 0.4 = 5.4
0.1x = 5.4

Divide each side by '0.1'.
x = 54

Simplifying
x = 54

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