Given the equation:
[tex]10x+14=-2+38[/tex]notice that on the right side we have that -2+38=36, then, moving the 14 to the right side with the opposite sign, we get:
[tex]\begin{gathered} 10x+14=36 \\ \Rightarrow10x=36-14=22 \\ \Rightarrow x=\frac{22}{10}=\frac{11}{5} \\ x=\frac{11}{5} \end{gathered}[/tex]therefore, x = 11/5