What is the answer to (13-3)/(2x)=37 ?

The answer to (13-3)/(2x)=37 is x= 5/37

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(13-3)/(2x)=37

\frac{13 - 3}{2 x} = 37

x = \frac{5}{37}

Decimal Notation

x = 0.13513 \dots

Solution steps

\frac{13 - 3}{2 x} = 37

Simplify

\frac{13 - 3}{2 x} : \frac{5}{x}

\frac{5}{x} = 37

Multiply both sides by

x

5 = 37 x

Switch sides

37 x = 5

Divide both sides by

37

x = \frac{5}{37}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{37}

\frac{8}{x} = \frac{8}{x - 4}

100 = 80 (1 + \frac{4 t}{t ^{2} + 16})

b^{- 2} = \frac{1}{4}

\frac{3}{4 x - 5} = x

\frac{x}{3 x + 4} = 5