Question

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

Answer 1

*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!!

Answer 2

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

$\bold{\frac{7x}{7}=\frac{-7}{7}}$

[ Step Eleven ] Simplify

$\bold{x=-1}$

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$\bold{\rightarrow Mordancy \leftarrow}$