0.50(40)=0.20(40-x)+0.80x

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Solution for 0.50(40)=0.20(40-x)+0.80x equation: 


Simplifying
0.50(40) = 0.20(40 + -1x) + 0.80x

Multiply 0.50 * 40
20 = 0.20(40 + -1x) + 0.80x
20 = (40 * 0.20 + -1x * 0.20) + 0.80x
20 = (8 + -0.2x) + 0.80x

Combine like terms: -0.2x + 0.80x = 0.6x
20 = 8 + 0.6x

Solving
20 = 8 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
20 + -0.6x = 8 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
20 + -0.6x = 8 + 0.0
20 + -0.6x = 8

Add '-20' to each side of the equation.
20 + -20 + -0.6x = 8 + -20

Combine like terms: 20 + -20 = 0
0 + -0.6x = 8 + -20
-0.6x = 8 + -20

Combine like terms: 8 + -20 = -12
-0.6x = -12

Divide each side by '-0.6'.
x = 20

Simplifying
x = 20

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