What is the answer to x/(x+6)\times 100=12 ?

The answer to x/(x+6)\times 100=12 is x= 9/11

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x/(x+6)\times 100=12

\frac{x}{x + 6} \cdot 100 = 12

x = \frac{9}{11}

Decimal

x = 0.81818 \dots

Solution steps

\frac{x}{x + 6} \cdot 100 = 12

Simplify

\frac{x}{x + 6} \cdot 100 : \frac{100 x}{x + 6}

\frac{100 x}{x + 6} = 12

Multiply both sides by

x + 6

100 x = 12 (x + 6)

Expand

12 (x + 6) : 12 x + 72

100 x = 12 x + 72

Move

12 x

to the left side

88 x = 72

Divide both sides by

88

x = \frac{9}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = \frac{9}{11}

\frac{1}{x ^{2}} + \frac{4}{x} - 12 = 0

1 - \frac{7}{x - 9} = \frac{3 x}{x - 9}

\frac{x ^{2} - 1}{x ^{2} - 2 x + 1} = 0

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

\frac{3}{x} = 3

What is the answer to x/(x+6)\times 100=12 ?
The answer to x/(x+6)\times 100=12 is x= 9/11
Solve for x: x/(x+6)\times 100=12
The solution is x= 9/11