Question

How do you solve `2x=7x+10`?

Answer 1

`x=-2`

Explanation:

`"collect terms in x on the left side of the equation"`
`"and numeric values on the right side"`

`"subtract "7x" from both sides"`

`2x-7x=cancel(7x)cancel(-7x)+10`

`rArr-5x=10`

`"divide both sides by "-5`

`(cancel(-5) x)/cancel(-5)=10/(-5)`

`rArrx=-2`

`color(blue)"As a check"`

Substitute this value into the equation and if both sides are equal then it is the solution.

`"left "=2xx-2=-4`

`"right "=(7xx-2)+10=-14+10=-4`

`rArrx=-2" is the solution"`

Answer 2

`x` = -2

Explanation:

The first step to solving this equation is to place all the `x` terms on one side by subtracting `7x` from each side of the equation:

`2x - 7x = 7x - 7x + 10`
**`-5x = 10`

Now, all you need to do is divide each side by `-5` to remove the coefficient from the `x` term and get it by itself:

`(-5x)/-5 = 10/-5`
`x = -2`