What is the answer to 0.6=(x-0.05x-34)/x ?

The answer to 0.6=(x-0.05x-34)/x is x= 680/7

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0.6=(x-0.05x-34)/x

0.6 = \frac{x - 0.05 x - 34}{x}

x = \frac{680}{7}

Decimal Notation

x = 97.14285 \dots

Solution steps

0.6 = \frac{x - 0.05 x - 34}{x}

Simplify

\frac{x - 0.05 x - 34}{x} : \frac{0.95 x - 34}{x}

0.6 = \frac{0.95 x - 34}{x}

Multiply both sides by

x

0.6 x = 0.95 x - 34

Multiply both sides by

100

60 x = 95 x - 3400

Move

95 x

to the left side

- 35 x = - 3400

Divide both sides by

- 35

x = \frac{680}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{680}{7}

\frac{x - 7}{x - 9} = \frac{3}{4}

\frac{1}{2 x + 5} = \frac{3}{x - 5}

\frac{1}{2} = \frac{1}{4 + c}

\frac{7}{15} = \frac{12}{5 x}

\frac{3}{x} = - 51

What is the answer to 0.6=(x-0.05x-34)/x ?
The answer to 0.6=(x-0.05x-34)/x is x= 680/7
Solve for x: 0.6=(x-0.05x-34)/x
The solution is x= 680/7