Find the value of x.

Answer:
Step-by-step explanation:
[tex]\dfrac{6x-1}{10x+5}=\dfrac{42}{78}\\\\\\\dfrac{6x-1}{10x+5}=\dfrac{7}{13}\\\\\\13(6x-1)=7(10x+5)\\\\78x-13=70x +35\\\\78x-70x=35+13\\\\8x=48\\\\x=6[/tex]