Question

-9x+2x+32=-10 The solution for X

Answer 1

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$\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

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

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   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.

  $\bold{-9x+2x=-10-32}$

$\bigstar$ On simplification,

        $\bold{-9x+2x=-42}$          Next, combine like terms (-9x+2x).

$\bigstar$ On further simplification,

   $\bold{-7x=-42}$                Next, divide by -7 on both sides.

$\bigstar$ Which results in

$\bold{x=6}$

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:-

$\bold{-9(6)+2(6)+32=-10}$

$\dagger$ On simplification,

$\bold{-54+12+32=-10}$

$\dagger$ On further simplification,

$\bold{-42+32=-10}$

$\dagger$ Which results in

$\bold{-10=-10}$

LHS=RHS, so our solution is indeed correct.

So we conclude that $\boxed{\bold{x=6}}$.

Good luck with your studies.

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Answer 2

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