Question

Solve for x 3(-x-3)+x-3=26

Answer 1

`\boxed {x = -19}`

Explanation:

Solve for the value of
`x`:

`3(-x - 3) + x - 3 = 26`

-Use Distributive Property:

`3(-x - 3) + x - 3 = 26`

`3(-x ) - 9 + x - 3 = 26`

-Combine both
`-9` and
`3`:

`3(-x ) - 9 + x - 3 = 26`

`3(-x ) - 12 + x = 26`

-Add
`12` to both sides:

`3(-x ) - 12 + 12 + x = 26 + 12`

`3(-x) + x = 38`

-Multiply the
`-1` by
`3`:

`3(-x) + x = 38`

`-3x + x = 38`

-Combine both the
`-3x` and
`x`:

`-3x + x = 38`

`-2x = 38`

-Divide both sides by
`-2`:

`(-2x)/(-2) = (38)/(-2)`

`\boxed {x = -19}`

Therefore, the value of
`x` is
`-19`.

Answer 2

`\bold{Hello!}\\\bold{Your~Answer~Is~Below!}`

______________________________

`\bold{Solution~Steps:}`

When we have a problem with parenthesis we must use distributive property:

• 
  `3` ×
  `-x-3`

• The
  `3` cancels out, leaving
  `-x`

*
`3(-x)-9+x-3=26`

Subtract
`3` from
`-9`:

• 
  `3-(-9)=-12`

*
`3(-x)-12+x=26`

Add
`12` to both sides:

• Since
  `-12` is negative we do the opposite of what we see, so it cancels out.

• 
  `-12+12=` Cancels out

• 
  `26+12=38`

*
`3(-x)+x=38`

Multiply
`3` and
`-1`:

• In this case we have
  `2` x's, so we need to get rid of one. We do this by turning
  `(-x)` into
  `-1`.

• Then we multiply them together:
  `3` ×
  `-1=-3`

*
`-3x+x=38`

Combine like terms:

• 
  `-3x+x=-2x`

*
`-2x=38`

Divide to get
`x` alone:

• Divide by
  `-2` on each side by rule of opposites:
  `-2x` ÷
  `-2=x`

• 
  `38` ÷
  `-2=-19`

`\boxed{x=-19}`

______________________________

`\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}`