What is the answer to (4x)/(x+1)= 10/3 ?

The answer to (4x)/(x+1)= 10/3 is x=5

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(4x)/(x+1)= 10/3

\frac{4 x}{x + 1} = \frac{10}{3}

x = 5

Solution steps

\frac{4 x}{x + 1} = \frac{10}{3}

Cross multiply

12 x = 10 x + 10

Move

10 x

to the left side

2 x = 10

Divide both sides by

2

x = 5

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 5

\frac{( 11 ( 2 + x ) - 5 ( x + 1 ) )}{( 3 - 7 x )} = 2

ln (0.9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

x^{2} + (\frac{- 3}{4 \cdot x})^{2} = 25

\frac{41}{8 + y} = \frac{1}{16}

\frac{1}{4.3 x} = 15