0.5(10-x)+0.2x=3

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Solution for 0.5(10-x)+0.2x=3 equation: 


Simplifying
0.5(10 + -1x) + 0.2x = 3
(10 * 0.5 + -1x * 0.5) + 0.2x = 3
(5 + -0.5x) + 0.2x = 3

Combine like terms: -0.5x + 0.2x = -0.3x
5 + -0.3x = 3

Solving
5 + -0.3x = 3

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -0.3x = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -0.3x = 3 + -5
-0.3x = 3 + -5

Combine like terms: 3 + -5 = -2
-0.3x = -2

Divide each side by '-0.3'.
x = 6.666666667

Simplifying
x = 6.666666667

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