x = 6
Explanation:[tex]5x\text{ + 2 - 3x = 14}[/tex]collect like terms:
[tex]\begin{gathered} 5x\text{ - 3x + 2 = 14} \\ 2x\text{ + 2 = 14} \end{gathered}[/tex]subtract 2 from both sides:
[tex]\begin{gathered} 2x\text{ + 2 - 2 = 14 - 2} \\ 2x\text{ + 0 = 12} \\ 2x\text{ = 12} \end{gathered}[/tex][tex]\begin{gathered} \text{Divide both sides by 2:} \\ \frac{2x}{2}=\frac{12}{2} \\ x\text{ = 6} \end{gathered}[/tex]