Question

How do you solve `-15x = -30 -5x`?

Answer 1

`x=3`

Explanation:

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

`"add 5x to both sides"`

`-15x+5x=-30cancel(-5x)cancel(+5x)`

`rArr-10x=-30`

`"divide both sides by "-10`

`(cancel(-10) x)/cancel(-10)=(-30)/(-10)`

`rArrx=3`

`color(blue)"As a check"`

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

`"left "=-15xx3=-45`

`"right "=-30-(5xx3)=-30-15=-45`

`rArrx=3" is the solution"`