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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