What is the answer to (ax+b)/(cx+d)=6 ?

The answer to (ax+b)/(cx+d)=6 is x=(6d-b)/(a-6c);\quad a\ne 6c

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(ax+b)/(cx+d)=6

\frac{a x + b}{c x + d} = 6

x = \frac{6 d - b}{a - 6 c}; a \neq = 6 c

Solution steps

\frac{a x + b}{c x + d} = 6

Multiply both sides by

c x + d

a x + b = 6 (c x + d)

Expand

6 (c x + d) : 6 c x + 6 d

a x + b = 6 c x + 6 d

Move

b

to the right side

a x = 6 c x + 6 d - b

Move

6 c x

to the left side

a x - 6 c x = 6 d - b

Factor

a x - 6 c x : x (a - 6 c)

x (a - 6 c) = 6 d - b

Divide both sides by

a - 6 c; a \neq = 6 c

x = \frac{6 d - b}{a - 6 c}; a \neq = 6 c

\frac{3}{4} = \frac{21}{x}

\frac{4}{x} = \frac{14}{5 x} + 2

x, w = \frac{2 x + 1}{x + 3}

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

\frac{9}{x} = - \frac{3}{10}

What is the answer to (ax+b)/(cx+d)=6 ?
The answer to (ax+b)/(cx+d)=6 is x=(6d-b)/(a-6c);\quad a\ne 6c