0.6(100-x)+0.4=0.5(92)

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Solution for 0.6(100-x)+0.4=0.5(92) equation:


Simplifying
0.6(100 + -1x) + 0.4 = 0.5(92)
(100 * 0.6 + -1x * 0.6) + 0.4 = 0.5(92)
(60 + -0.6x) + 0.4 = 0.5(92)

Reorder the terms:
60 + 0.4 + -0.6x = 0.5(92)

Combine like terms: 60 + 0.4 = 60.4
60.4 + -0.6x = 0.5(92)

Multiply 0.5 * 92
60.4 + -0.6x = 46

Solving
60.4 + -0.6x = 46

Solving for variable 'x'.

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

Add '-60.4' to each side of the equation.
60.4 + -60.4 + -0.6x = 46 + -60.4

Combine like terms: 60.4 + -60.4 = 0.0
0.0 + -0.6x = 46 + -60.4
-0.6x = 46 + -60.4

Combine like terms: 46 + -60.4 = -14.4
-0.6x = -14.4

Divide each side by '-0.6'.
x = 24

Simplifying
x = 24

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