Question

-8(6x+12)=-32x-24 SHOW YOUR WORK PLS whats x

Answer 1

`x=-(9)/(2)`

Explanation:

Simplify the given equation by solving for x. Isolate the x variable in:

`-8(6x+12)=-32x-24`

Expand the left side by using the distributive property. Remember that when a negative and positive are multiplied, the result is always negative:

`-8(6x)-8(12)=-32x-24\\\\-48x-96=-32x-24`

Use inverse operations to isolate the variable. Add 96 to both sides, canceling out the -96 on the left:

`-48x-96+96=-32x-24+96\\\\-48x=-32x+72`

Add 32x to both sides to isolate x:

`-48x+32x=-32x+32x+72\\\\-16x=72`

Now divide both sides by 16:

`(-16x)/(16) =(72)/(16) \\\\-x=(9)/(2)`

Make the variable positive by multiplying both sides by -1:

`-1(-x)=-1((9)/(2))\\\\x=-(9)/(2)`

:Done

Note:

You do the same thing to both sides in order to keep the equation balanced. Using the opposite value of a term cancels it out, moving it to the other side.

Answer 2

x= -9/2

Hope I helped