What is the answer to ((ax+b))/(cx+d)=3 ?

The answer to ((ax+b))/(cx+d)=3 is x=(3d-b)/(a-3c);\quad a\ne 3c

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((ax+b))/(cx+d)=3

\frac{( a x + b )}{c x + d} = 3

x = \frac{3 d - b}{a - 3 c}; a \neq = 3 c

Solution steps

\frac{( a x + b )}{c x + d} = 3

Simplify

\frac{( a x + b )}{c x + d} : \frac{a x + b}{c x + d}

\frac{a x + b}{c x + d} = 3

Multiply both sides by

c x + d

a x + b = 3 (c x + d)

Expand

3 (c x + d) : 3 c x + 3 d

a x + b = 3 c x + 3 d

Move

b

to the right side

a x = 3 c x + 3 d - b

Move

3 c x

to the left side

a x - 3 c x = 3 d - b

Factor

a x - 3 c x : x (a - 3 c)

x (a - 3 c) = 3 d - b

Divide both sides by

a - 3 c; a \neq = 3 c

x = \frac{3 d - b}{a - 3 c}; a \neq = 3 c

- 16 a = \frac{- ( 2 d )}{( 3 r )}

\frac{x - 5}{8} = \frac{4}{x - 1}

\frac{1000 x - 50000}{1000 x} = 0.25

\frac{x - 6}{2 x + 1} = 10

x, \frac{c}{x} = r d

What is the answer to ((ax+b))/(cx+d)=3 ?
The answer to ((ax+b))/(cx+d)=3 is x=(3d-b)/(a-3c);\quad a\ne 3c