What is the answer to x/((100+x))=0.15 ?

The answer to x/((100+x))=0.15 is x= 300/17

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x/((100+x))=0.15

\frac{x}{( 100 + x )} = 0.15

x = \frac{300}{17}

Decimal Notation

x = 17.64705 \dots

Solution steps

\frac{x}{( 100 + x )} = 0.15

Simplify

\frac{x}{( 100 + x )} : \frac{x}{100 + x}

\frac{x}{100 + x} = 0.15

Multiply both sides by

100 + x

x = 0.15 (100 + x)

Multiply both sides by

100

x \cdot 100 = 15 (100 + x)

Expand

15 (100 + x) : 1500 + 15 x

x \cdot 100 = 1500 + 15 x

Move

15 x

to the left side

85 x = 1500

Divide both sides by

85

x = \frac{300}{17}

Verify Solutions

Find undefined (singularity) points:

x = - 100

Combine undefined points with solutions:

x = \frac{300}{17}

\frac{4}{3 \cdot x ^{2}} = 1

x, \frac{a ^{2}}{x ^{2}} - \frac{b ^{2}}{y ^{2}} = 1

\frac{4 - x}{4} = \frac{6}{x}

\frac{2 x - ( 3 x + 7 )}{( 5 x - 3 ) + 4} = 3

1 + 2 x + 3 x^{2} = (1 - x)^{- 2}

What is the answer to x/((100+x))=0.15 ?
The answer to x/((100+x))=0.15 is x= 300/17
Solve for x: x/((100+x))=0.15
The solution is x= 300/17