What is the answer to (3x)/(x+52)=19.6 ?

The answer to (3x)/(x+52)=19.6 is x=-5096/83

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(3x)/(x+52)=19.6

\frac{3 x}{x + 52} = 19.6

x = - \frac{5096}{83}

Decimal Notation

x = - 61.39759 \dots

Solution steps

\frac{3 x}{x + 52} = 19.6

Multiply both sides by

x + 52

3 x = 19.6 (x + 52)

Multiply both sides by

10

30 x = 196 (x + 52)

Expand

196 (x + 52) : 196 x + 10192

30 x = 196 x + 10192

Move

196 x

to the left side

- 166 x = 10192

Divide both sides by

- 166

x = - \frac{5096}{83}

Verify Solutions

Find undefined (singularity) points:

x = - 52

Combine undefined points with solutions:

x = - \frac{5096}{83}

\frac{3}{2 x} = 6

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

\frac{t}{t - 1} = \frac{2}{t - 1} + 2

\frac{3}{a} + 1 = \frac{2}{5}

\frac{5}{p + 1} = \frac{7}{3}

What is the answer to (3x)/(x+52)=19.6 ?
The answer to (3x)/(x+52)=19.6 is x=-5096/83
Solve for x: (3x)/(x+52)=19.6
The solution is x=-5096/83