Question

Solver the following: 2(x+3)=x-4

Answer 1

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$\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}$

                 Solve the following $\mathrm{2(x+3)=x-4}$.

$\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}$

  First of all, we can remove the parentheses by multiplying 2 times x and 3:-

        $\mathrm{2x+6=x-4}$

Now that we removed the parentheses, the rest is a piece of cake, as long as we pay attention to the signs, and here's what I mean by that.

       Subtract x on both sides:-

     

$\mathrm{2x-x+6=-4}$

On simplification, we get

   $\mathrm{x+6=-4}$

Now we subtract 6 on both sides, which results in

 $\mathrm{x=-4-6}$

And finally,

$\mathrm{x=-10}$

[Verification]

We can substitute -10 for x and see whether or not we end up with a true statement.

$\mathrm{2(-10+3)=-10-4}$

Perform the operation inside the parentheses first:-

$\mathrm{2(-7)=-14}$

On simplification, we get

$\mathrm{-14=-14}$

      Since the left-hand side (L.H.S.) is the same as the right-hand side (R.H.S), our solution (x=-10) is correct.

Good luck.

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