Question

How do you solve `9x - 13= 5x + 11`?

Answer 1

`x=6`

Explanation:

`9x-13=5x+11` |-5x, +13
`9x-5x=11+13`
`4x=24`
`x=6`

Answer 2

`x=6`

Explanation:

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

`"subtract "5x" from both sides"`

`9x-5x-13=cancel(5x)cancel(-5x)+11`

`rArr4x-13=11`

`"add 13 to both sides"`

`4xcancel(-13)cancel(+13)=11+13`

`rArr4x=24`

`"divide both sides by 4"`

`(cancel(4) x)/cancel(4)=24/4`

`rArrx=6`

`color(blue)"As a check"`

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

`"left "=(9xx6)-13=54-13=41`

`"right "=(5xx6)+11=30+11=41`

`rArrx=6" is the solution"`