What is the answer to 3/(0.1)= x/(x+3) ?

The answer to 3/(0.1)= x/(x+3) is x=-90/29

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3/(0.1)= x/(x+3)

\frac{3}{0.1} = \frac{x}{x + 3}

x = - \frac{90}{29}

Decimal Notation

x = - 3.10344 \dots

Solution steps

\frac{3}{0.1} = \frac{x}{x + 3}

Cross multiply

3 (x + 3) = 0.1 x

Multiply both sides by

10

30 (x + 3) = x

Expand

30 (x + 3) : 30 x + 90

30 x + 90 = x

Move

90

to the right side

30 x = x - 90

Move

x

to the left side

29 x = - 90

Divide both sides by

29

x = - \frac{90}{29}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{90}{29}

\frac{8}{x} = \frac{5}{4 x} + 1

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

\frac{7 x}{x - 5} = \frac{35}{x - 5}

\frac{12}{20} = \frac{3}{x}

x^{3} - \frac{1}{x ^{3}} = 4^{3}

What is the answer to 3/(0.1)= x/(x+3) ?
The answer to 3/(0.1)= x/(x+3) is x=-90/29
Solve for x: 3/(0.1)= x/(x+3)
The solution is x=-90/29