What is the answer to -2(2)+b=(-24)/(x-b) ?

The answer to -2(2)+b=(-24)/(x-b) is x=(-24-4b+b^2)/(-4+b);\quad b\ne 4

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-2(2)+b=(-24)/(x-b)

- 2 (2) + b = \frac{- 24}{x - b}

x = \frac{- 24 - 4 b + b ^{2}}{- 4 + b}; b \neq = 4

Solution steps

- 2 (2) + b = \frac{- 24}{x - b}

Simplify

\frac{- 24}{x - b} : - \frac{24}{x - b}

- 2 (2) + b = - \frac{24}{x - b}

Multiply both sides by

x - b

- 4 (x - b) + b (x - b) = - 24

Expand

- 4 (x - b) : - 4 x + 4 b

- 4 x + 4 b + b (x - b) = - 24

Expand

b (x - b) : b x - b^{2}

- 4 x + 4 b + b x - b^{2} = - 24

Move

4 b

to the right side

- 4 x + b x - b^{2} = - 24 - 4 b

Move

b^{2}

to the right side

- 4 x + b x = - 24 - 4 b + b^{2}

Factor

- 4 x + b x : x (- 4 + b)

x (- 4 + b) = - 24 - 4 b + b^{2}

Divide both sides by

- 4 + b; b \neq = 4

x = \frac{- 24 - 4 b + b ^{2}}{- 4 + b}; b \neq = 4

x + \frac{3}{x + 1} = \frac{5}{x + 1}

r, p = \frac{2 q + r}{q r}

\frac{x - 1}{2 x - 4} + \frac{x + 2}{3 x} = 1

\frac{3 x}{x + 1} - \frac{5}{2 x} = \frac{3}{2 x}

x^{4} = \frac{11 x - 6}{6 x - 11}

What is the answer to -2(2)+b=(-24)/(x-b) ?
The answer to -2(2)+b=(-24)/(x-b) is x=(-24-4b+b^2)/(-4+b);\quad b\ne 4