What is the answer to a/x-7/x =5-b ?

The answer to a/x-7/x =5-b is x=(a-7)/(5-b);\quad b\ne 5

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a/x-7/x =5-b

\frac{a}{x} - \frac{7}{x} = 5 - b

x = \frac{a - 7}{5 - b}; b \neq = 5

Solution steps

\frac{a}{x} - \frac{7}{x} = 5 - b

Multiply both sides by

x

a - 7 = 5 x - b x

Switch sides

5 x - b x = a - 7

Factor

5 x - b x : x (5 - b)

x (5 - b) = a - 7

Divide both sides by

5 - b; b \neq = 5

x = \frac{a - 7}{5 - b}; b \neq = 5

\frac{10}{x - 5} + x = 1 + \frac{2 x}{x - 5}

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

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

\frac{1}{4 x ^{2}} = \frac{1}{2 x - ( \frac{3}{4 x ^{2}} )}

7 - \frac{1}{x} = - 8 x

What is the answer to a/x-7/x =5-b ?
The answer to a/x-7/x =5-b is x=(a-7)/(5-b);\quad b\ne 5