0.1x-0.1(4-x)=0.5

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


Simplifying
0.1x + -0.1(4 + -1x) = 0.5
0.1x + (4 * -0.1 + -1x * -0.1) = 0.5
0.1x + (-0.4 + 0.1x) = 0.5

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

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

Solving
-0.4 + 0.2x = 0.5

Solving for variable 'x'.

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.2x = 0.5 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.2x = 0.5 + 0.4
0.2x = 0.5 + 0.4

Combine like terms: 0.5 + 0.4 = 0.9
0.2x = 0.9

Divide each side by '0.2'.
x = 4.5

Simplifying
x = 4.5

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