(100)(0.0954)(50-30)+(100)(X)+(100)(0.0895)(30-20)=(100)(20-5)+46.35(20-5)

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Solution for (100)(0.0954)(50-30)+(100)(X)+(100)(0.0895)(30-20)=(100)(20-5)+46.35(20-5) equation: 


Simplifying
(100)(0.0954)(50 + -30) + (100)(X) + (100)(0.0895)(30 + -20) = (100)(20 + -5) + 46.35(20 + -5)

Combine like terms: 50 + -30 = 20
100 * 0.0954(20) + (100)(X) + (100)(0.0895)(30 + -20) = (100)(20 + -5) + 46.35(20 + -5)

Multiply 100 * 0.0954
9.54 * 20 + (100)(X) + (100)(0.0895)(30 + -20) = (100)(20 + -5) + 46.35(20 + -5)

Multiply 9.54 * 20
190.8 + (100)(X) + (100)(0.0895)(30 + -20) = (100)(20 + -5) + 46.35(20 + -5)

Combine like terms: 30 + -20 = 10
190.8 + 100X + 100 * 0.0895(10) = (100)(20 + -5) + 46.35(20 + -5)

Multiply 100 * 0.0895
190.8 + 100X + 8.95 * 10 = (100)(20 + -5) + 46.35(20 + -5)

Multiply 8.95 * 10
190.8 + 100X + 89.5 = (100)(20 + -5) + 46.35(20 + -5)

Reorder the terms:
190.8 + 89.5 + 100X = (100)(20 + -5) + 46.35(20 + -5)

Combine like terms: 190.8 + 89.5 = 280.3
280.3 + 100X = (100)(20 + -5) + 46.35(20 + -5)

Combine like terms: 20 + -5 = 15
280.3 + 100X = 100(15) + 46.35(20 + -5)

Multiply 100 * 15
280.3 + 100X = 1500 + 46.35(20 + -5)

Combine like terms: 20 + -5 = 15
280.3 + 100X = 1500 + 46.35(15)

Multiply 46.35 * 15
280.3 + 100X = 1500 + 695.25

Combine like terms: 1500 + 695.25 = 2195.25
280.3 + 100X = 2195.25

Solving
280.3 + 100X = 2195.25

Solving for variable 'X'.

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

Add '-280.3' to each side of the equation.
280.3 + -280.3 + 100X = 2195.25 + -280.3

Combine like terms: 280.3 + -280.3 = 0.0
0.0 + 100X = 2195.25 + -280.3
100X = 2195.25 + -280.3

Combine like terms: 2195.25 + -280.3 = 1914.95
100X = 1914.95

Divide each side by '100'.
X = 19.1495

Simplifying
X = 19.1495

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