Given the equation:
[tex]5x-6+3x=34[/tex]To solve for x, first, we collect like terms and simplify
[tex]\begin{gathered} 5x+3x=34+6 \\ 8x=40 \end{gathered}[/tex]Next, we divide both sides by 8 to solve for x
[tex]\begin{gathered} \frac{8x}{8}=\frac{40}{8} \\ x=5 \end{gathered}[/tex]The value of x is 5.