0.2x+0.5(13-x)=3.8

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Solution for 0.2x+0.5(13-x)=3.8 equation: 


Simplifying
0.2x + 0.5(13 + -1x) = 3.8
0.2x + (13 * 0.5 + -1x * 0.5) = 3.8
0.2x + (6.5 + -0.5x) = 3.8

Reorder the terms:
6.5 + 0.2x + -0.5x = 3.8

Combine like terms: 0.2x + -0.5x = -0.3x
6.5 + -0.3x = 3.8

Solving
6.5 + -0.3x = 3.8

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -0.3x = 3.8 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.3x = 3.8 + -6.5
-0.3x = 3.8 + -6.5

Combine like terms: 3.8 + -6.5 = -2.7
-0.3x = -2.7

Divide each side by '-0.3'.
x = 9

Simplifying
x = 9

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