Given :
[tex]-8x-14=7\mleft(-2-4x\mright)+4[/tex]Solve to find x;
[tex]\begin{gathered} -8x-14=7\mleft(-2-4x\mright)+4 \\ -8x-14=-14-28x+4 \end{gathered}[/tex]Combine like terms :
[tex]\begin{gathered} -8x+28x=-14+4+14 \\ 20x=4 \end{gathered}[/tex]Divide both sides by 20
[tex]\begin{gathered} \frac{20x}{20}=\frac{4}{20} \\ x=\frac{4}{20}=\frac{1}{5}=0.2 \end{gathered}[/tex]So, the value of x = 0.2