Answer:
[tex]x=-\frac{373}{35}[/tex]
Step-by-step explanation:
4/x+11=35/3
Cross Multiply
[tex]12=\left(x+11\right)\cdot \:35[/tex]
Switch Sides
[tex]\left(x+11\right)\cdot \:35=12[/tex]
Divide both sides by 35
[tex]\frac{\left(x+11\right)\cdot \:35}{35}[/tex]
Simplify
[tex]x+11=\frac{12}{35}[/tex]
Subtract 11 from both sides
[tex]x+11-11=\frac{12}{35}-11[/tex]
Simplify
[tex]x=-\frac{373}{35}[/tex]
And that is your answer.