Answer:
[tex]\boxed{\sf x=-4}[/tex]
Step-by-step explanation:
[tex]\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6[/tex]
[tex]\boxed {\sf Expand: \: Use \: the \:distributive \:property}[/tex]
[tex]\sf 6\left(x+2\right)+6[/tex]
→ [tex]\sf 6x+12[/tex]
[tex]\sf -3\left(x+4\right)-6[/tex]
→ [tex]\sf -3x-18[/tex]
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[tex]\sf 6x+18=-3x-18[/tex]
[tex]\boxed{\sf Subtract\: 18 \: from \: both\: sides:}[/tex]
[tex]\sf 6x+18-18=-3x-18-18[/tex]
[tex]\sf 6x=-3x-36[/tex]
[tex]\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}[/tex]
[tex]\sf 6x+3x=-3x-36+3x[/tex]
[tex]\sf 9x=-36[/tex]
[tex]\boxed{\sf{Divide\:both\:sides\:by\:}9}[/tex]
[tex]\sf \cfrac{9x}{9}=\cfrac{-36}{9}[/tex]
[tex]\sf x=-4[/tex]
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