Assignment: [tex]\bold{Solve \ Equation: \ 3\left(x+2\right)+2\left(x-4\right)=x-3\left(x+3\right)}[/tex]
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Answer: [tex]\boxed{\bold{x=-1}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Expand [tex]\bold{-3\left(x+3\right)}[/tex]
[tex]\bold{-3x-9}[/tex]
[ Step Two ] Rewrite Equation
[tex]\bold{5x-2=x-3x-9}[/tex]
[ Step Three ] Add Similar Elements [tex]\bold{x-3x=-2x}[/tex]
[tex]\bold{5x-2=-2x-9}[/tex]
[ Step Four ] Expand [tex]\bold{3\left(x+2\right)+2\left(x-4\right)}[/tex]
[tex]\bold{5x-2}[/tex]
[ Step Five ] Rewrite Equation
[tex]\bold{5x-2=-2x-9}[/tex]
[ Step Six ] Add 2 To Both Sides
[tex]\bold{5x-2+2=-2x-9+2}[/tex]
[ Step Seven ] Simplify
[tex]\bold{5x=-2x-7}[/tex]
[ Step Eight ] Add 2x To Both Sides
[tex]\bold{5x+2x=-2x-7+2x}[/tex]
[ Step Nine ] Simplify
[tex]\bold{7x=-7}[/tex]
[ Step Ten ] Divide Both Sides By 7
[tex]\bold{\frac{7x}{7}=\frac{-7}{7}}[/tex]
[ Step Eleven ] Simplify
[tex]\bold{x=-1}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
