x = 5
Explanation:[tex]6x\text{ - 10 + 3x = 35}[/tex]collect like terms for x:
[tex]\begin{gathered} 6x\text{ + 3x - 10 = 35} \\ 9x\text{ - 10 = 35} \end{gathered}[/tex]subtract 10 from both sides:
[tex]\begin{gathered} 9x\text{ - 10 + 10 = 35 + 10} \\ 9x\text{ + 0 =45} \\ 9x\text{ = 45} \end{gathered}[/tex]divide both sides by 9:
[tex]\begin{gathered} \frac{9x}{9}=\frac{45}{9} \\ x\text{ = 5} \end{gathered}[/tex]