5.12(x)+12.42(60-x)=500

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Solution for 5.12(x)+12.42(60-x)=500 equation: 


Simplifying
5.12(x) + 12.42(60 + -1x) = 500
5.12x + (60 * 12.42 + -1x * 12.42) = 500
5.12x + (745.2 + -12.42x) = 500

Reorder the terms:
745.2 + 5.12x + -12.42x = 500

Combine like terms: 5.12x + -12.42x = -7.3x
745.2 + -7.3x = 500

Solving
745.2 + -7.3x = 500

Solving for variable 'x'.

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

Add '-745.2' to each side of the equation.
745.2 + -745.2 + -7.3x = 500 + -745.2

Combine like terms: 745.2 + -745.2 = 0.0
0.0 + -7.3x = 500 + -745.2
-7.3x = 500 + -745.2

Combine like terms: 500 + -745.2 = -245.2
-7.3x = -245.2

Divide each side by '-7.3'.
x = 33.5890411

Simplifying
x = 33.5890411

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