Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]\frac{3}{x-4}=\frac{7}{x}[/tex]
Solve for x
Multiply in cross
[tex]3(x)=7(x-4)[/tex]
distributive property right side
[tex]3x=7x-28[/tex]
subtract 3x both sides
[tex]3x-3x=7x-28-3x[/tex]
[tex]0=4x-28[/tex]
Adds 28 both sides
[tex]0+28=4x-28+28[/tex]
[tex]28=4x[/tex]
Divide by 4 both sides and rewrite
[tex]x=7[/tex]
