What is the value of x?

Answer:
Step-by-step explanation:
Use Basic Proportionality Theorem (look at the picture).
Therefore we have the equation:
[tex]\dfrac{3x-2}{50}=\dfrac{6}{30}\qquad\text{cross multiply}\\\\30(3x-2)=50(6)\qquad\text{use the distributive property}\\\\(30)(3x)+(30)(-2)=300\\\\90x-60=300\qquad\text{add 60 to both sides}\\\\90x=360\qquad\text{divide both sides by 90}\\\\x=4[/tex]