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

User Avikam
by
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2 Answers

10 votes


\rule{300}{1}


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

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


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

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.


\rule{300}{2}

User Jared Allard
by
8.6k points
4 votes

Answer: x = 6

Explanation:

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

= -7x + 32 = -10

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

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

Therefore, x = 6

User Chr
by
8.3k points

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