What is the answer to 5/3 = 4/x-1 ?

The answer to 5/3 = 4/x-1 is x= 3/2

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5/3 = 4/x-1

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

x = \frac{3}{2}

Solution steps

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

Multiply by LCM

5 x = 12 - 3 x

Move

3 x

to the left side

8 x = 12

Divide both sides by

8

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{2}{4} = \frac{8}{x}

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

g, 3 = \frac{4 m}{g} - Q

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

x + \frac{10}{x - 9} = 2