Respuesta :

Answer: x = 6

Step-by-Step Explanation:

=> -9x + 2x + 32 = -10

= -7x + 32 = -10

= -7x = -10 - 32 = -42

=> x = -42/-7 = 42/7 = 6

Therefore, x = 6

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

-9x+2x+32=-10. what is x?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]

   When solving an equation, we need to make sure all variables are on the

    left-hand side, and all numbers are on the right-hand side.

   

    There are numbers on both sides, so we need to move all of them to the right.

  [tex]\bold{-9x+2x=-10-32}[/tex]

[tex]\bigstar[/tex] On simplification,

        [tex]\bold{-9x+2x=-42}[/tex]          Next, combine like terms (-9x+2x).

[tex]\bigstar[/tex] On further simplification,

   [tex]\bold{-7x=-42}[/tex]                Next, divide by -7 on both sides.

[tex]\bigstar[/tex] Which results in

[tex]\bold{x=6}[/tex]

Note:-

It's always a good idea to make sure the solution is correct.

We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-

[tex]\bold{-9(6)+2(6)+32=-10}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\bold{-54+12+32=-10}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\bold{-42+32=-10}[/tex]

[tex]\dagger[/tex] Which results in

[tex]\bold{-10=-10}[/tex]

LHS=RHS, so our solution is indeed correct.

So we conclude that [tex]\boxed{\bold{x=6}}[/tex].

Good luck with your studies.

[tex]\rule{300}{2}[/tex]

ACCESS MORE