Question

Help!!!!!!!!!!!!!!!!!

Answer 1

x=-2

Explanation:

To solve the equation, we must get x isolated on one side of the equation.

`3(2x-4) = -24`

3 is being multiplied by 2x -4. The inverse of multiplication is division. Divide both sides of the equation by 3.

`(3(2x-4))/(3) = -(24)/(3)`

`(2x-4)= -(24)/(3)`

`(2x-4)= -8`

4 is being subtracted from 2x. The inverse of subtraction is addition. Add 4 to both sides of the equation.

`2x-4 +4 = -8+4`

`2x= -8+4`

`2x= -4`

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

`(2x)/(2) =(-4)/(2)`

`x=(-4)/(2)`

`x= -2`

Let's check our solution. Plug -2 in for x and solve.

`3(2x-4)= -24`

`3(2(-2)-4)= -24`

`3(-4-4) = -24`

`3(-8)= -24`

`-24=-24`

The statement above is true, so we know our solution is correct.

The answer to the equation is x= -2.

Answer 2

x= -2

Explanation:

3(2x-4)= -24

expand

6x-12= -24

6x= -24+12

6x= -12

x= -12/6

x= -2