Answer:
[tex]x=48[/tex]
Step-by-step explanation:
[tex]\displaystyle{\frac{8(6-x)}{7}={-x}}[/tex]
Multiply both sides by 7:
[tex]\displaystyle{8(6-x)=-7x}[/tex]
Distribute the left side:
[tex]\displaystyle{48-8x=-7x}[/tex]
Add 8x to both sides:
[tex]48=x[/tex]