What is the answer to 5/((x-1))=10 ?

The answer to 5/((x-1))=10 is x= 3/2

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5/((x-1))=10

\frac{5}{( x - 1 )} = 10

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{5}{( x - 1 )} = 10

Simplify

\frac{5}{( x - 1 )} : \frac{5}{x - 1}

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

Multiply both sides by

x - 1

5 = 10 (x - 1)

Switch sides

10 (x - 1) = 5

Divide both sides by

10

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

Move

1

to the right side

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{x + 1}{3 x - 2} = \frac{5 x - 4}{3 x + 2}

x + \frac{12}{x} = 8

y, x = \frac{6 y + 3}{y - 8}

4.7 = 12 \cdot (\frac{x}{x + 150})

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