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]