.2x+.5(13-x)=3.2

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Solution for .2x+.5(13-x)=3.2 equation:


Simplifying
0.2x + 0.5(13 + -1x) = 3.2
0.2x + (13 * 0.5 + -1x * 0.5) = 3.2
0.2x + (6.5 + -0.5x) = 3.2

Reorder the terms:
6.5 + 0.2x + -0.5x = 3.2

Combine like terms: 0.2x + -0.5x = -0.3x
6.5 + -0.3x = 3.2

Solving
6.5 + -0.3x = 3.2

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 = 3.2 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -0.3x = 3.2 + -6.5
-0.3x = 3.2 + -6.5

Combine like terms: 3.2 + -6.5 = -3.3
-0.3x = -3.3

Divide each side by '-0.3'.
x = 11

Simplifying
x = 11

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