0.02x-0.5=0.12x+0.1-0.4x

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Solution for 0.02x-0.5=0.12x+0.1-0.4x equation: 


Simplifying
0.02x + -0.5 = 0.12x + 0.1 + -0.4x

Reorder the terms:
-0.5 + 0.02x = 0.12x + 0.1 + -0.4x

Reorder the terms:
-0.5 + 0.02x = 0.1 + 0.12x + -0.4x

Combine like terms: 0.12x + -0.4x = -0.28x
-0.5 + 0.02x = 0.1 + -0.28x

Solving
-0.5 + 0.02x = 0.1 + -0.28x

Solving for variable 'x'.

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

Add '0.28x' to each side of the equation.
-0.5 + 0.02x + 0.28x = 0.1 + -0.28x + 0.28x

Combine like terms: 0.02x + 0.28x = 0.3x
-0.5 + 0.3x = 0.1 + -0.28x + 0.28x

Combine like terms: -0.28x + 0.28x = 0.00
-0.5 + 0.3x = 0.1 + 0.00
-0.5 + 0.3x = 0.1

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.3x = 0.1 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.3x = 0.1 + 0.5
0.3x = 0.1 + 0.5

Combine like terms: 0.1 + 0.5 = 0.6
0.3x = 0.6

Divide each side by '0.3'.
x = 2

Simplifying
x = 2

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