Question

How do you solve `-6x + 6= - 5x + 5`?

Answer 1

`x=1`

Explanation:

`"collect terms in x on one side of the equation and numeric"`
`"values on the other side"`

`"add "6x" to both sides"`

`cancel(-6x)cancel(+6x)+6=-5x+6x+5`

`rArr6=x+5`

`"subtract 5 from both sides"`

`6-5=xcancel(+5)cancel(-5)`

`rArr1=x" or "x=1`

`color(blue)"As a check"`

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

`"left side "=-6+6=0`

`"right side "=-5+5=0`

`rArrx=1" is the solution"`