Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]