Question

How do you solve `26= 4x + 6( 2x - 17)`?

Answer 1

see below

Explanation:

`26 = 4x+6(2x-17)`

`=>26=4x+12x-102`

`=>128=16x`

`=>x=128/16=8`

Answer 2

`x=8`

Explanation:

`"distribute the bracket on the right side and simplify"`

`rArr26=4x+12x-102`

`rArr26=16x-102`

`"add 102 to both sides"`

`26+102=16xcancel(-102)cancel(+102)`

`rArr16x=128larrcolor(blue)" reversing the equation"`

`"divide both sides by 16"`

`(cancel(16) x)/cancel(16)=128/16`

`rArrx=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.

`(4xx8)+6(16-17)=32-6=26=" left side"`

`rArrx=8" is the solution"`