Question

How do you solve `28 = 14+ 7( x - 6)`?

Answer 1

`x=8`

Explanation:

`28=14+7(x-6)`

Expand the brackets
`28=14+7x-42`

Place all the numbers on one side
`28-14+42=7x`

Add the numbers together
`7x=56`

Divide both sides by 7
`x=8`

Answer 2

`x=8`

Explanation:

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

`28=14+7x-42`

`"simplify right side"`

`28=7x-28`

`56=7x`

`"divide both sides by 7"`

`56/7=(cancel(7) x)/(cancel(7)`

`x=8`

`color(blue)"As a check"`

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

`14+7(8-6)=14+(7xx2)=14+14=28`

`"hence "x=8" is the solution"`