Thank you for the opportunity to help you with your question!

Hey, I'm not sure if you meant for me to solve 4/x = 2/3, or to solve 4/x = 2/3 + 6. I solved both just in case.

4/x = 2/3 Need to get x on a side by itself. For this proportion, cross-multiply.

x*2 = 4*3 Now simplify and multiply 4 by 3.

x*2 = 12 Divide 2 over to the other side of the equation.

x = 6

Incase you wanted the solution for this equation:

4/x = 2/3 + 6

Need to get x on a side by itself. Easiest to setup a proportion, then cross-multiply. First change 6 into a fraction with a common denominator as 2/3. So 6 is now written as 18/3

4/x = 2/3 + 18/3 Now add the two fractions on the right hand side of the equation.

4/x = 20/3 Cross multiply next.

20*x = 4*3

x = 12/20

x = 3/5

Please let me know if you need any clarification. I'm always happy to answer your questions.