What is the answer to 2x-(12}{2-x}=7+\frac{11x+11)/9 ?

The answer to 2x-(12}{2-x}=7+\frac{11x+11)/9 is x= 32/7 ,x=8

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2x-(12}{2-x}=7+\frac{11x+11)/9

2 x - \frac{12}{2 - x} = 7 + \frac{11 x + 11}{9}

x = \frac{32}{7}, x = 8

Decimal Notation

x = 4.57142 \dots, x = 8

Solution steps

2 x - \frac{12}{2 - x} = 7 + \frac{11 x + 11}{9}

Multiply by LCM

18 x (- x + 2) - 108 = 63 (- x + 2) + (11 x + 11) (- x + 2)

Solve

18 x (- x + 2) - 108 = 63 (- x + 2) + (11 x + 11) (- x + 2) : x = \frac{32}{7}, x = 8

x = \frac{32}{7}, x = 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{32}{7}, x = 8

\frac{7}{x + 4} - \frac{1}{x} = \frac{8}{15}

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

\frac{6}{m} + 2 = \frac{m + 3}{m - 1}

x - \frac{3}{x - 9} = \frac{7}{x - 9}

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

What is the answer to 2x-(12}{2-x}=7+\frac{11x+11)/9 ?
The answer to 2x-(12}{2-x}=7+\frac{11x+11)/9 is x= 32/7 ,x=8
Solve for x: 2x-(12}{2-x}=7+\frac{11x+11)/9
The solution is x= 32/7 ,x=8