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

Explanation:

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

= -7x + 32 = -10

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

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

Therefore, x = 6