Question

How do u solve 6(x+2)+6=-3(x+4)-6

Answer 1

6(x+2)+6=-3(x+4)-6
6x+12+6 = -3x-12-6
6x+18 = -3x-18
6x+3x = -18-18
9x= -36
X= -36/9
X= -4

Answer 2

`\boxed{\sf x=-4}`

Explanation:

`\sf 6\left(x+2\right)+6=-3\left(x+4\right)-6`

`\boxed {\sf Expand: \: Use \: the \:distributive \:property}`

`\sf 6\left(x+2\right)+6`

→
`\sf 6x+12`

`\sf -3\left(x+4\right)-6`

→
`\sf -3x-18`

____________________

`\sf 6x+18=-3x-18`

`\boxed{\sf Subtract\: 18 \: from \: both\: sides:}`

`\sf 6x+18-18=-3x-18-18`

`\sf 6x=-3x-36`

`\boxed{\sf{Add\:}3x\sf{\:to\:both\:sides}}`

`\sf 6x+3x=-3x-36+3x`

`\sf 9x=-36`

`\boxed{\sf{Divide\:both\:sides\:by\:}9}`

`\sf \cfrac{9x}{9}=\cfrac{-36}{9}`

`\sf x=-4`

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