Question

Please help: 3(x+2)+2(x-4)=x-3(x+3)

Answer 1

Assignment:
`\bold{Solve \ Equation: \ 3\left(x+2\right)+2\left(x-4\right)=x-3\left(x+3\right)}`

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Answer:
`\boxed{\bold{x=-1}}`

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Explanation:
`\downarrow\downarrow\downarrow`

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[ Step One ] Expand
`\bold{-3\left(x+3\right)}`

`\bold{-3x-9}`

[ Step Two ] Rewrite Equation

`\bold{5x-2=x-3x-9}`

[ Step Three ] Add Similar Elements
`\bold{x-3x=-2x}`

`\bold{5x-2=-2x-9}`

[ Step Four ] Expand
`\bold{3\left(x+2\right)+2\left(x-4\right)}`

`\bold{5x-2}`

[ Step Five ] Rewrite Equation

`\bold{5x-2=-2x-9}`

[ Step Six ] Add 2 To Both Sides

`\bold{5x-2+2=-2x-9+2}`

[ Step Seven ] Simplify

`\bold{5x=-2x-7}`

[ Step Eight ] Add 2x To Both Sides

`\bold{5x+2x=-2x-7+2x}`

[ Step Nine ] Simplify

`\bold{7x=-7}`

[ Step Ten ] Divide Both Sides By 7

`\bold{(7x)/(7)=(-7)/(7)}`

[ Step Eleven ] Simplify

`\bold{x=-1}`

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`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

*Distribute*

3x+6+2x-8=x-3x-9

*Combine like terms*

5x-2=-2x-9

*Add 2x to both sides*

7x-2=-9

*Add 2 to both sides*

7x=-7

*Divide both sides by 7*

x=-1

Hope this helps!!