0.1(80)+0.2(x)+0.3(33.125)+0.4(50)=50

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Solution for 0.1(80)+0.2(x)+0.3(33.125)+0.4(50)=50 equation: 


Simplifying
0.1(80) + 0.2(x) + 0.3(33.125) + 0.4(50) = 50

Multiply 0.1 * 80
8 + 0.2(x) + 0.3(33.125) + 0.4(50) = 50

Multiply 0.3 * 33.125
8 + 0.2x + 9.9375 + 0.4(50) = 50

Multiply 0.4 * 50
8 + 0.2x + 9.9375 + 20 = 50

Reorder the terms:
8 + 9.9375 + 20 + 0.2x = 50

Combine like terms: 8 + 9.9375 = 17.9375
17.9375 + 20 + 0.2x = 50

Combine like terms: 17.9375 + 20 = 37.9375
37.9375 + 0.2x = 50

Solving
37.9375 + 0.2x = 50

Solving for variable 'x'.

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

Add '-37.9375' to each side of the equation.
37.9375 + -37.9375 + 0.2x = 50 + -37.9375

Combine like terms: 37.9375 + -37.9375 = 0.0000
0.0000 + 0.2x = 50 + -37.9375
0.2x = 50 + -37.9375

Combine like terms: 50 + -37.9375 = 12.0625
0.2x = 12.0625

Divide each side by '0.2'.
x = 60.3125

Simplifying
x = 60.3125

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