GIven:
y = 4x+rx+6.
The objective is to solve for x.
The value of x can be solved as,
[tex]\begin{gathered} y=4x+rx+6 \\ y=(4+r)x+6 \\ (4+r)x=y-6 \\ x=\frac{y-6}{4+r} \end{gathered}[/tex]Hence, the value of x can be solved by substituting the values of y and r in the above equation.