Question

Question #03397

Answer 1

`x = 8`

Explanation:

`( 2x + 10 ) - ( 8x +48 ) = 10`

`2x + 10 - 8x + 48 = 10`

`-6x + 58 = 10`

`6x = 58 - 10`

`6x = 48`

Therefore,

`x = 48/6`

`x = 8`

Answer 2

`x=8`

Explanation:

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

`2x+10-8x+48=10`

`rArr-6x+58=10`

`"subtract 58 from both sides"`

`=-6xcancel(+58)cancel(-58)=10-58`

`rArr-6x=-48`

`"divide both sides by "-6`

`(cancel(-6) x)/cancel(-6)=(-48)/(-6)`

`rArrx=8`

`color(blue)"As a check"`

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

`2(8+5)-8(8-6)=26-16=10`

`rArrx=8" is the solution"`