What is the answer to 28=(2100-x)/x 100 ?

The answer to 28=(2100-x)/x 100 is x= 13125/8

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28=(2100-x)/x 100

28 = \frac{2100 - x}{x} 100

x = \frac{13125}{8}

Decimal Notation

x = 1640.625

Solution steps

28 = \frac{2100 - x}{x} \cdot 100

Simplify

\frac{2100 - x}{x} \cdot 100 : \frac{100 ( 2100 - x )}{x}

28 = \frac{100 ( 2100 - x )}{x}

Multiply both sides by

x

28 x = 100 (2100 - x)

Expand

100 (2100 - x) : 210000 - 100 x

28 x = 210000 - 100 x

Move

100 x

to the left side

128 x = 210000

Divide both sides by

128

x = \frac{13125}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{13125}{8}

\frac{1}{2 x + \frac{3}{2} x} = 4044

\frac{3492}{x} = 3.88

2 x + \frac{3}{x + 4} = x

\frac{5}{2 x} = - \frac{1}{4}

\frac{3}{x + 1} = \frac{9}{4 x + 5}

What is the answer to 28=(2100-x)/x 100 ?
The answer to 28=(2100-x)/x 100 is x= 13125/8
Solve for x: 28=(2100-x)/x 100
The solution is x= 13125/8