Answer:
[tex]x = 12+3\sqrt{6}[/tex]
Step-by-step explanation:
Given equation,
[tex](3\sqrt{6}-x)+4=-8[/tex]
By subtraction property of equality,
[tex]-x + 4 = -8-3\sqrt{6}[/tex]
By subtraction property of equality,
[tex]-x=-8-3\sqrt{6}-4[/tex]
Combining like terms,
[tex]-x = -12 - 3\sqrt{6}[/tex]
Divide both sides by -1,
[tex]\implies x = 12+3\sqrt{6}[/tex]