Question

Need help on this one

Answer 1

Answer: X = 3

Explanation:

We have the initial,
`-3x+14=4x-7`.

We have to have the unknown's on one side, and the known's on another.

Using the American Method taught in schools, we subtract 14 from both sides.

`-3x+14-14=4x-7-14`

Then we simplify.

`-3x=4x-21`

Then we subtract 4x from both sides.

`-3x-4x=4x-21-4x`

Simplify again.

`-7x=-21`

Divide both sides by -7

`(-7x)/(-7) = (-21)/(-7)`

To do that division, we apply the rule
`(-a)/(-b) = (a)/(b)`

`(7x)/(7)`

Divide the number excluding the x.

`(7)/(7) = 1`, leaving us with x.

Now for
`(-21)/(-7)`, we can use the earlier rule to get
`(21)/(7)`.

After the division we are left with 3.

Using both, we now know that x = 3.