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

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

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solvefor x,(ax+b)/(cx+d)=3

solve for

x, \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

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

x, \frac{a x + b}{c x + d} = 9

\frac{x ^{2} - 2 x - 1}{( x - 1 ) ^{2}} = 0

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

\frac{x ^{2} + 4 x - 1}{( x + 2 ) ^{2}} = 0

1 - x - \frac{24}{72 x + 12} = 0

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