50x+20(100-x)=40(100)

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Solution for 50x+20(100-x)=40(100) equation: 


Simplifying
50x + 20(100 + -1x) = 40(100)
50x + (100 * 20 + -1x * 20) = 40(100)
50x + (2000 + -20x) = 40(100)

Reorder the terms:
2000 + 50x + -20x = 40(100)

Combine like terms: 50x + -20x = 30x
2000 + 30x = 40(100)

Multiply 40 * 100
2000 + 30x = 4000

Solving
2000 + 30x = 4000

Solving for variable 'x'.

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

Add '-2000' to each side of the equation.
2000 + -2000 + 30x = 4000 + -2000

Combine like terms: 2000 + -2000 = 0
0 + 30x = 4000 + -2000
30x = 4000 + -2000

Combine like terms: 4000 + -2000 = 2000
30x = 2000

Divide each side by '30'.
x = 66.66666667

Simplifying
x = 66.66666667

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