Question

Solve the equation. 6x - 3 (x+8) = 9

Answer 1

Assignment:
`\bold{Solve \ Equation: \ 6x-3\left(x+8\right)=9}`

<><><><><>

Answer:
`\boxed{\bold{x=11}}`

<><><><><>

Explanation:
`\downarrow\downarrow\downarrow`

<><><><><>

[ Step One ] Expand
`\bold{-3\left(x+8\right)}`

`\bold{-3x-24}`

[ Step Two ] Rewrite Equation

`\bold{6x-3x-24=9}`

[ Step Three ] Combine Similar Elements

`\bold{6x-3x=3x}`

[ Step Four ] Rewrite Equation

`\bold{3x-24=9}`

[ Step Five ] Add 24 To Both Sides

`\bold{3x-24+24=9+24}`

[ Step Six ] Simplify

`\bold{3x=33}`

[ Step Seven ] Divide Both Sides By 3

`\bold{(3x)/(3)=(33)/(3)}`

[ Step Eight ] Simplify

`\bold{x=11}`

<><><><><><><>

`\bold{\rightarrow Mordancy \leftarrow}`

Answer 2

x=11

Explanation:

6x-3(x+8)=9

Using the distributive property, we can turn 6x-3(x+8)=9 into 6x-3x-24=9, which simplifies to 3x-24=9 by combining like terms. Now, if we add 24 to both sides, we get 3x=33. By dividing both sides by 3, we get x=11.

Check:

66-3*19=9

66-57 does in fact equal 9.