What is the answer to (2x+7)/(5-x)= 8/3 ?

The answer to (2x+7)/(5-x)= 8/3 is x= 19/14

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(2x+7)/(5-x)= 8/3

\frac{2 x + 7}{5 - x} = \frac{8}{3}

x = \frac{19}{14}

Decimal

x = 1.35714 \dots

Solution steps

\frac{2 x + 7}{5 - x} = \frac{8}{3}

Cross multiply

6 x + 21 = 40 - 8 x

Move

21

to the right side

6 x = - 8 x + 19

Move

8 x

to the left side

14 x = 19

Divide both sides by

14

x = \frac{19}{14}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{19}{14}

\frac{s ^{6} - n ^{9}}{s ^{6} - n ^{6}}

0 = \frac{2}{x ^{3}}

y, x = \frac{x + y}{x - y}

\frac{20}{x} = 9 - x

\frac{x + a}{x - a}

What is the answer to (2x+7)/(5-x)= 8/3 ?
The answer to (2x+7)/(5-x)= 8/3 is x= 19/14
Solve for x: (2x+7)/(5-x)= 8/3
The solution is x= 19/14