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

The answer to (7-3x)/(5-x)-(2x)/(3-x)=8 is x= 11/3 ,x=9

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

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

x = \frac{11}{3}, x = 9

Decimal

x = 3.66666 \dots, x = 9

Solution steps

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

Multiply by LCM

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

Solve

(7 - 3 x) (- x + 3) - 2 x (- x + 5) = 8 (- x + 5) (- x + 3) : x = \frac{11}{3}, x = 9

x = \frac{11}{3}, x = 9

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 3

Combine undefined points with solutions:

x = \frac{11}{3}, x = 9

\frac{x}{x + 2} + 1 = \frac{4}{x ^{2} + 2 x}

F, M = \frac{d}{F}

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

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

1 + \frac{5}{x + 5} = - \frac{9 x}{x + 5}

What is the answer to (7-3x)/(5-x)-(2x)/(3-x)=8 ?
The answer to (7-3x)/(5-x)-(2x)/(3-x)=8 is x= 11/3 ,x=9
Solve for x: (7-3x)/(5-x)-(2x)/(3-x)=8
The solution is x= 11/3 ,x=9