Explanation:
To solve for x first we have to substract 49 from both sides of the equation:
[tex]\begin{gathered} 11-49=2(8+3x)+49-49 \\ -38=2(8+3x) \end{gathered}[/tex]Divide both sides by 2:
[tex]\begin{gathered} -\frac{38}{2}=\frac{2(8+3x)}{2} \\ -19=8+3x \end{gathered}[/tex]Substract 8 from both sides:
[tex]\begin{gathered} -19-8=8-8+3x \\ -27=3x \end{gathered}[/tex]And divide both sides by 3:
[tex]\begin{gathered} -\frac{27}{3}=\frac{3x}{3} \\ -9=x \end{gathered}[/tex]Answer:
x = -9