What is the answer to (277)/(x-277)=2.1 ?

The answer to (277)/(x-277)=2.1 is x= 8587/21

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(277)/(x-277)=2.1

\frac{277}{x - 277} = 2.1

x = \frac{8587}{21}

Decimal Notation

x = 408.90476 \dots

Solution steps

\frac{277}{x - 277} = 2.1

Multiply both sides by

x - 277

277 = 2.1 (x - 277)

Switch sides

2.1 (x - 277) = 277

Multiply both sides by

10

21 (x - 277) = 2770

Divide both sides by

21

x - 277 = \frac{2770}{21}

Move

277

to the right side

x = \frac{8587}{21}

Verify Solutions

Find undefined (singularity) points:

x = 277

Combine undefined points with solutions:

x = \frac{8587}{21}

1 = \frac{1.55 x}{77 + x}

\frac{4 a}{5 a} = \frac{20 a}{x}

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

\frac{2}{5 x} - \frac{x}{10} = 1

\frac{4}{x + 3} - \frac{9}{x - 2} = 5

What is the answer to (277)/(x-277)=2.1 ?
The answer to (277)/(x-277)=2.1 is x= 8587/21
Solve for x: (277)/(x-277)=2.1
The solution is x= 8587/21