Question

How do you solve `4( 9+ x ) = 136`?

Answer 1

`x=25`

Explanation:

`"distribute the bracket on the left side of the equation"`

`rArr36+4x=136`

`"subtract 36 from both sides"`

`cancel(36)cancel(-36)+4x=136-36`

`rArr4x=100`

`"divide both sides by " 4`

`(cancel(4) x)/cancel(4)=100/4`

`rArrx=25`

`color(blue)"As a check"`

Substitute this value into the left side and if equal to the right side then it is the solution.

`"left "=4xx34=136=" right side"`

`rArrx=25" is the solution"`

Answer 2

`x=25`

Explanation:

`4(9+color(Red)x)=136`

First you have to expand the equation:
`4*9+4*color(Red)x=136`
`36+4color(Red)x=136`

Then subtract both sides of equation by 36 to isolate the unknown's (`color(Red)x`'s) term:
`cancel36cancel(-36)+4color(Red)x=136-36`
`4color(Red)x=100`

Dividing both sides by 4, we get the value of`color(Red) x`:
`(cancel(4)color(Red)x)/cancel4=100/4`
`color(Red)x=25`