0.5(x-4)=0.1x+0.2

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Solution for 0.5(x-4)=0.1x+0.2 equation: 


Simplifying
0.5(x + -4) = 0.1x + 0.2

Reorder the terms:
0.5(-4 + x) = 0.1x + 0.2
(-4 * 0.5 + x * 0.5) = 0.1x + 0.2
(-2 + 0.5x) = 0.1x + 0.2

Reorder the terms:
-2 + 0.5x = 0.2 + 0.1x

Solving
-2 + 0.5x = 0.2 + 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.
-2 + 0.5x + -0.1x = 0.2 + 0.1x + -0.1x

Combine like terms: 0.5x + -0.1x = 0.4x
-2 + 0.4x = 0.2 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-2 + 0.4x = 0.2 + 0.0
-2 + 0.4x = 0.2

Add '2' to each side of the equation.
-2 + 2 + 0.4x = 0.2 + 2

Combine like terms: -2 + 2 = 0
0 + 0.4x = 0.2 + 2
0.4x = 0.2 + 2

Combine like terms: 0.2 + 2 = 2.2
0.4x = 2.2

Divide each side by '0.4'.
x = 5.5

Simplifying
x = 5.5

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