Question

Question #7c8da

Answer 1

x = -3

Explanation:

multiply through...

`12x-2 - 23 = -61`

`12x - 25 = -61`

...add 25 to both sides:

`12x = -36`

...divide both sides by 12:

`x = -3`

GOOD LUCK

Check your work:
2(6(-3) - 1) -23 = 2(-19) - 23 = -38-23 = -61 CHECK

Answer 2

`x=-3`

Explanation:

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

`12x-2-23=-61`

`rArr12x-25=-61larrcolor(blue)"simplifying"`

`"add 25 to both sides"`

`12xcancel(-25)cancel(+25)=-61+25`

`rArr12x=-36`

`"divide both sides by "12`

`(cancel(12) x)/cancel(12)=(-36)/12`

`rArrx=-3`

`color(blue)"As a check"`

`"substitute this value into the left side of the "`
`"equation and if equal to the right side then it is"`
`"the solution"`

`2(-18-1)-23=-38-23=-61=" right side"`

`rArrx=-3" is the solution"`